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Finding the Fourth Proportional to 2,379.32, 3,569.08 and 647.94

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Solution

The fourth proportional to 2,379.32, 3,569.08 and 647.94 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.32 : 3,569.08 = 647.94 : x
  2. Step 2: Convert to fraction form
    2,379.32/3,569.08 = 647.94/x
  3. Step 3: Cross multiply
    2,379.32x = 3,569.08 × 647.94
  4. Step 4: Simplify right side
    2,379.32x = 2,312,549.70
  5. Step 5: Solve for x
    x = 2,312,549.70/2,379.32
  6. Step 6: Final answer
    x = 971.94

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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.