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Finding the Fourth Proportional to 2,954.95, 4,416.10 and 2,784.24

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Solution

The fourth proportional to 2,954.95, 4,416.10 and 2,784.24 is: 4,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.95 : 4,416.10 = 2,784.24 : x
  2. Step 2: Convert to fraction form
    2,954.95/4,416.10 = 2,784.24/x
  3. Step 3: Cross multiply
    2,954.95x = 4,416.10 × 2,784.24
  4. Step 4: Simplify right side
    2,954.95x = 12,295,482.26
  5. Step 5: Solve for x
    x = 12,295,482.26/2,954.95
  6. Step 6: Final answer
    x = 4,160.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.