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Finding the Fourth Proportional to 1,497.72, 2,245.46 and 1,009.40

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Solution

The fourth proportional to 1,497.72, 2,245.46 and 1,009.40 is: 1,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.72 : 2,245.46 = 1,009.40 : x
  2. Step 2: Convert to fraction form
    1,497.72/2,245.46 = 1,009.40/x
  3. Step 3: Cross multiply
    1,497.72x = 2,245.46 × 1,009.40
  4. Step 4: Simplify right side
    1,497.72x = 2,266,567.32
  5. Step 5: Solve for x
    x = 2,266,567.32/1,497.72
  6. Step 6: Final answer
    x = 1,513.35

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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.