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Finding the Fourth Proportional to 2,471.56, 3,410.65 and 1,352.47

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Solution

The fourth proportional to 2,471.56, 3,410.65 and 1,352.47 is: 1,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.56 : 3,410.65 = 1,352.47 : x
  2. Step 2: Convert to fraction form
    2,471.56/3,410.65 = 1,352.47/x
  3. Step 3: Cross multiply
    2,471.56x = 3,410.65 × 1,352.47
  4. Step 4: Simplify right side
    2,471.56x = 4,612,801.81
  5. Step 5: Solve for x
    x = 4,612,801.81/2,471.56
  6. Step 6: Final answer
    x = 1,866.35

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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.