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Finding the Fourth Proportional to 1,863.50, 2,570.69 and 1,117.28

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Solution

The fourth proportional to 1,863.50, 2,570.69 and 1,117.28 is: 1,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.50 : 2,570.69 = 1,117.28 : x
  2. Step 2: Convert to fraction form
    1,863.50/2,570.69 = 1,117.28/x
  3. Step 3: Cross multiply
    1,863.50x = 2,570.69 × 1,117.28
  4. Step 4: Simplify right side
    1,863.50x = 2,872,189.74
  5. Step 5: Solve for x
    x = 2,872,189.74/1,863.50
  6. Step 6: Final answer
    x = 1,541.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.