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Finding the Fourth Proportional to 1,358.39, 2,036.98 and 947.72

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Solution

The fourth proportional to 1,358.39, 2,036.98 and 947.72 is: 1,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.39 : 2,036.98 = 947.72 : x
  2. Step 2: Convert to fraction form
    1,358.39/2,036.98 = 947.72/x
  3. Step 3: Cross multiply
    1,358.39x = 2,036.98 × 947.72
  4. Step 4: Simplify right side
    1,358.39x = 1,930,486.69
  5. Step 5: Solve for x
    x = 1,930,486.69/1,358.39
  6. Step 6: Final answer
    x = 1,421.16

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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.