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Finding the Fourth Proportional to 1,562.54, 2,331.81 and 1,430.10

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Solution

The fourth proportional to 1,562.54, 2,331.81 and 1,430.10 is: 2,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.54 : 2,331.81 = 1,430.10 : x
  2. Step 2: Convert to fraction form
    1,562.54/2,331.81 = 1,430.10/x
  3. Step 3: Cross multiply
    1,562.54x = 2,331.81 × 1,430.10
  4. Step 4: Simplify right side
    1,562.54x = 3,334,721.48
  5. Step 5: Solve for x
    x = 3,334,721.48/1,562.54
  6. Step 6: Final answer
    x = 2,134.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.