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Finding the Fourth Proportional to 2,358.19, 3,537.86 and 714.64

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Solution

The fourth proportional to 2,358.19, 3,537.86 and 714.64 is: 1,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.19 : 3,537.86 = 714.64 : x
  2. Step 2: Convert to fraction form
    2,358.19/3,537.86 = 714.64/x
  3. Step 3: Cross multiply
    2,358.19x = 3,537.86 × 714.64
  4. Step 4: Simplify right side
    2,358.19x = 2,528,296.27
  5. Step 5: Solve for x
    x = 2,528,296.27/2,358.19
  6. Step 6: Final answer
    x = 1,072.13

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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.