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Finding the Fourth Proportional to 1,495.67, 2,242.89 and 618.13

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Solution

The fourth proportional to 1,495.67, 2,242.89 and 618.13 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.67 : 2,242.89 = 618.13 : x
  2. Step 2: Convert to fraction form
    1,495.67/2,242.89 = 618.13/x
  3. Step 3: Cross multiply
    1,495.67x = 2,242.89 × 618.13
  4. Step 4: Simplify right side
    1,495.67x = 1,386,400.40
  5. Step 5: Solve for x
    x = 1,386,400.40/1,495.67
  6. Step 6: Final answer
    x = 926.95

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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.