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Finding the Fourth Proportional to 2,290.79, 3,436.82 and 647.35

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Solution

The fourth proportional to 2,290.79, 3,436.82 and 647.35 is: 971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.79 : 3,436.82 = 647.35 : x
  2. Step 2: Convert to fraction form
    2,290.79/3,436.82 = 647.35/x
  3. Step 3: Cross multiply
    2,290.79x = 3,436.82 × 647.35
  4. Step 4: Simplify right side
    2,290.79x = 2,224,825.43
  5. Step 5: Solve for x
    x = 2,224,825.43/2,290.79
  6. Step 6: Final answer
    x = 971.20

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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.