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Finding the Fourth Proportional to 1,545.19, 2,317.88 and 544.41

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Solution

The fourth proportional to 1,545.19, 2,317.88 and 544.41 is: 816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.19 : 2,317.88 = 544.41 : x
  2. Step 2: Convert to fraction form
    1,545.19/2,317.88 = 544.41/x
  3. Step 3: Cross multiply
    1,545.19x = 2,317.88 × 544.41
  4. Step 4: Simplify right side
    1,545.19x = 1,261,877.05
  5. Step 5: Solve for x
    x = 1,261,877.05/1,545.19
  6. Step 6: Final answer
    x = 816.65

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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.