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Finding the Fourth Proportional to 1,877.24, 2,812.16 and 1,053.02

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Solution

The fourth proportional to 1,877.24, 2,812.16 and 1,053.02 is: 1,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.24 : 2,812.16 = 1,053.02 : x
  2. Step 2: Convert to fraction form
    1,877.24/2,812.16 = 1,053.02/x
  3. Step 3: Cross multiply
    1,877.24x = 2,812.16 × 1,053.02
  4. Step 4: Simplify right side
    1,877.24x = 2,961,260.72
  5. Step 5: Solve for x
    x = 2,961,260.72/1,877.24
  6. Step 6: Final answer
    x = 1,577.45

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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.