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Finding the Fourth Proportional to 2,358.61, 3,538.28 and 714.96

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Solution

The fourth proportional to 2,358.61, 3,538.28 and 714.96 is: 1,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.61 : 3,538.28 = 714.96 : x
  2. Step 2: Convert to fraction form
    2,358.61/3,538.28 = 714.96/x
  3. Step 3: Cross multiply
    2,358.61x = 3,538.28 × 714.96
  4. Step 4: Simplify right side
    2,358.61x = 2,529,730.46
  5. Step 5: Solve for x
    x = 2,529,730.46/2,358.61
  6. Step 6: Final answer
    x = 1,072.55

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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.