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Finding the Fourth Proportional to 2,329.17, 3,492.68 and 867.93

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Solution

The fourth proportional to 2,329.17, 3,492.68 and 867.93 is: 1,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.17 : 3,492.68 = 867.93 : x
  2. Step 2: Convert to fraction form
    2,329.17/3,492.68 = 867.93/x
  3. Step 3: Cross multiply
    2,329.17x = 3,492.68 × 867.93
  4. Step 4: Simplify right side
    2,329.17x = 3,031,397.41
  5. Step 5: Solve for x
    x = 3,031,397.41/2,329.17
  6. Step 6: Final answer
    x = 1,301.49

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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.