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Finding the Fourth Proportional to 2,914.64, 4,368.24 and 1,874.24

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Solution

The fourth proportional to 2,914.64, 4,368.24 and 1,874.24 is: 2,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.64 : 4,368.24 = 1,874.24 : x
  2. Step 2: Convert to fraction form
    2,914.64/4,368.24 = 1,874.24/x
  3. Step 3: Cross multiply
    2,914.64x = 4,368.24 × 1,874.24
  4. Step 4: Simplify right side
    2,914.64x = 8,187,130.14
  5. Step 5: Solve for x
    x = 8,187,130.14/2,914.64
  6. Step 6: Final answer
    x = 2,808.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.