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Finding the Fourth Proportional to 2,358.88, 3,538.33 and 715.43

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Solution

The fourth proportional to 2,358.88, 3,538.33 and 715.43 is: 1,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.88 : 3,538.33 = 715.43 : x
  2. Step 2: Convert to fraction form
    2,358.88/3,538.33 = 715.43/x
  3. Step 3: Cross multiply
    2,358.88x = 3,538.33 × 715.43
  4. Step 4: Simplify right side
    2,358.88x = 2,531,425.64
  5. Step 5: Solve for x
    x = 2,531,425.64/2,358.88
  6. Step 6: Final answer
    x = 1,073.15

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1.5x scale

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.