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Finding the Fourth Proportional to 2,945.60, 4,417.59 and 997.52

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Solution

The fourth proportional to 2,945.60, 4,417.59 and 997.52 is: 1,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.60 : 4,417.59 = 997.52 : x
  2. Step 2: Convert to fraction form
    2,945.60/4,417.59 = 997.52/x
  3. Step 3: Cross multiply
    2,945.60x = 4,417.59 × 997.52
  4. Step 4: Simplify right side
    2,945.60x = 4,406,634.38
  5. Step 5: Solve for x
    x = 4,406,634.38/2,945.60
  6. Step 6: Final answer
    x = 1,496.01

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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.