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Finding the Fourth Proportional to 2,291.12, 3,436.68 and 647.70

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Solution

The fourth proportional to 2,291.12, 3,436.68 and 647.70 is: 971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.12 : 3,436.68 = 647.70 : x
  2. Step 2: Convert to fraction form
    2,291.12/3,436.68 = 647.70/x
  3. Step 3: Cross multiply
    2,291.12x = 3,436.68 × 647.70
  4. Step 4: Simplify right side
    2,291.12x = 2,225,937.64
  5. Step 5: Solve for x
    x = 2,225,937.64/2,291.12
  6. Step 6: Final answer
    x = 971.55

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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.