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Finding the Fourth Proportional to 2,290.48, 3,435.72 and 647.02

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Solution

The fourth proportional to 2,290.48, 3,435.72 and 647.02 is: 970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.48 : 3,435.72 = 647.02 : x
  2. Step 2: Convert to fraction form
    2,290.48/3,435.72 = 647.02/x
  3. Step 3: Cross multiply
    2,290.48x = 3,435.72 × 647.02
  4. Step 4: Simplify right side
    2,290.48x = 2,222,979.55
  5. Step 5: Solve for x
    x = 2,222,979.55/2,290.48
  6. Step 6: Final answer
    x = 970.53

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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.