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Finding the Fourth Proportional to 1,948.61, 2,923.19 and 562.03

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Solution

The fourth proportional to 1,948.61, 2,923.19 and 562.03 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.61 : 2,923.19 = 562.03 : x
  2. Step 2: Convert to fraction form
    1,948.61/2,923.19 = 562.03/x
  3. Step 3: Cross multiply
    1,948.61x = 2,923.19 × 562.03
  4. Step 4: Simplify right side
    1,948.61x = 1,642,920.48
  5. Step 5: Solve for x
    x = 1,642,920.48/1,948.61
  6. Step 6: Final answer
    x = 843.12

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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.