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Finding the Fourth Proportional to 2,598.65, 3,897.92 and 955.16

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Solution

The fourth proportional to 2,598.65, 3,897.92 and 955.16 is: 1,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.65 : 3,897.92 = 955.16 : x
  2. Step 2: Convert to fraction form
    2,598.65/3,897.92 = 955.16/x
  3. Step 3: Cross multiply
    2,598.65x = 3,897.92 × 955.16
  4. Step 4: Simplify right side
    2,598.65x = 3,723,113.00
  5. Step 5: Solve for x
    x = 3,723,113.00/2,598.65
  6. Step 6: Final answer
    x = 1,432.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.