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Finding the Fourth Proportional to 2,207.65, 3,312.03 and 1,037.42

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Solution

The fourth proportional to 2,207.65, 3,312.03 and 1,037.42 is: 1,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.65 : 3,312.03 = 1,037.42 : x
  2. Step 2: Convert to fraction form
    2,207.65/3,312.03 = 1,037.42/x
  3. Step 3: Cross multiply
    2,207.65x = 3,312.03 × 1,037.42
  4. Step 4: Simplify right side
    2,207.65x = 3,435,966.16
  5. Step 5: Solve for x
    x = 3,435,966.16/2,207.65
  6. Step 6: Final answer
    x = 1,556.39

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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.