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Finding the Fourth Proportional to 3,061.90, 4,593.42 and 1,417.36

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Solution

The fourth proportional to 3,061.90, 4,593.42 and 1,417.36 is: 2,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.90 : 4,593.42 = 1,417.36 : x
  2. Step 2: Convert to fraction form
    3,061.90/4,593.42 = 1,417.36/x
  3. Step 3: Cross multiply
    3,061.90x = 4,593.42 × 1,417.36
  4. Step 4: Simplify right side
    3,061.90x = 6,510,529.77
  5. Step 5: Solve for x
    x = 6,510,529.77/3,061.90
  6. Step 6: Final answer
    x = 2,126.30

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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.