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Finding the Fourth Proportional to 2,358.63, 3,538.17 and 714.89

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Solution

The fourth proportional to 2,358.63, 3,538.17 and 714.89 is: 1,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.63 : 3,538.17 = 714.89 : x
  2. Step 2: Convert to fraction form
    2,358.63/3,538.17 = 714.89/x
  3. Step 3: Cross multiply
    2,358.63x = 3,538.17 × 714.89
  4. Step 4: Simplify right side
    2,358.63x = 2,529,411.20
  5. Step 5: Solve for x
    x = 2,529,411.20/2,358.63
  6. Step 6: Final answer
    x = 1,072.41

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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.