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Finding the Fourth Proportional to 2,316.48, 3,472.18 and 929.48

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Solution

The fourth proportional to 2,316.48, 3,472.18 and 929.48 is: 1,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.48 : 3,472.18 = 929.48 : x
  2. Step 2: Convert to fraction form
    2,316.48/3,472.18 = 929.48/x
  3. Step 3: Cross multiply
    2,316.48x = 3,472.18 × 929.48
  4. Step 4: Simplify right side
    2,316.48x = 3,227,321.87
  5. Step 5: Solve for x
    x = 3,227,321.87/2,316.48
  6. Step 6: Final answer
    x = 1,393.20

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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.