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Finding the Fourth Proportional to 3,070.66, 4,237.50 and 1,744.10

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Solution

The fourth proportional to 3,070.66, 4,237.50 and 1,744.10 is: 2,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.66 : 4,237.50 = 1,744.10 : x
  2. Step 2: Convert to fraction form
    3,070.66/4,237.50 = 1,744.10/x
  3. Step 3: Cross multiply
    3,070.66x = 4,237.50 × 1,744.10
  4. Step 4: Simplify right side
    3,070.66x = 7,390,623.75
  5. Step 5: Solve for x
    x = 7,390,623.75/3,070.66
  6. Step 6: Final answer
    x = 2,406.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.