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Finding the Fourth Proportional to 1,543.25, 2,316.06 and 1,078.00

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Solution

The fourth proportional to 1,543.25, 2,316.06 and 1,078.00 is: 1,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.25 : 2,316.06 = 1,078.00 : x
  2. Step 2: Convert to fraction form
    1,543.25/2,316.06 = 1,078.00/x
  3. Step 3: Cross multiply
    1,543.25x = 2,316.06 × 1,078.00
  4. Step 4: Simplify right side
    1,543.25x = 2,496,706.89
  5. Step 5: Solve for x
    x = 2,496,706.89/1,543.25
  6. Step 6: Final answer
    x = 1,617.82

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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.