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Finding the Fourth Proportional to 2,285.77, 3,430.16 and 1,053.13

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Solution

The fourth proportional to 2,285.77, 3,430.16 and 1,053.13 is: 1,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.77 : 3,430.16 = 1,053.13 : x
  2. Step 2: Convert to fraction form
    2,285.77/3,430.16 = 1,053.13/x
  3. Step 3: Cross multiply
    2,285.77x = 3,430.16 × 1,053.13
  4. Step 4: Simplify right side
    2,285.77x = 3,612,381.98
  5. Step 5: Solve for x
    x = 3,612,381.98/2,285.77
  6. Step 6: Final answer
    x = 1,580.38

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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.