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Finding the Fourth Proportional to 1,471.77, 2,211.71 and 1,417.10

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Solution

The fourth proportional to 1,471.77, 2,211.71 and 1,417.10 is: 2,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.77 : 2,211.71 = 1,417.10 : x
  2. Step 2: Convert to fraction form
    1,471.77/2,211.71 = 1,417.10/x
  3. Step 3: Cross multiply
    1,471.77x = 2,211.71 × 1,417.10
  4. Step 4: Simplify right side
    1,471.77x = 3,134,196.10
  5. Step 5: Solve for x
    x = 3,134,196.10/1,471.77
  6. Step 6: Final answer
    x = 2,129.54

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