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Finding the Fourth Proportional to 2,207.52, 3,312.36 and 1,053

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Solution

The fourth proportional to 2,207.52, 3,312.36 and 1,053 is: 1,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.52 : 3,312.36 = 1,053 : x
  2. Step 2: Convert to fraction form
    2,207.52/3,312.36 = 1,053/x
  3. Step 3: Cross multiply
    2,207.52x = 3,312.36 × 1,053
  4. Step 4: Simplify right side
    2,207.52x = 3,487,915.08
  5. Step 5: Solve for x
    x = 3,487,915.08/2,207.52
  6. Step 6: Final answer
    x = 1,580.02

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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.