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Finding the Fourth Proportional to 1,556.30, 2,337.15 and 1,507.70

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Solution

The fourth proportional to 1,556.30, 2,337.15 and 1,507.70 is: 2,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.30 : 2,337.15 = 1,507.70 : x
  2. Step 2: Convert to fraction form
    1,556.30/2,337.15 = 1,507.70/x
  3. Step 3: Cross multiply
    1,556.30x = 2,337.15 × 1,507.70
  4. Step 4: Simplify right side
    1,556.30x = 3,523,721.06
  5. Step 5: Solve for x
    x = 3,523,721.06/1,556.30
  6. Step 6: Final answer
    x = 2,264.17

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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.