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Finding the Fourth Proportional to 1,862.69, 2,570.04 and 1,116.95

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Solution

The fourth proportional to 1,862.69, 2,570.04 and 1,116.95 is: 1,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.69 : 2,570.04 = 1,116.95 : x
  2. Step 2: Convert to fraction form
    1,862.69/2,570.04 = 1,116.95/x
  3. Step 3: Cross multiply
    1,862.69x = 2,570.04 × 1,116.95
  4. Step 4: Simplify right side
    1,862.69x = 2,870,593.33
  5. Step 5: Solve for x
    x = 2,870,593.33/1,862.69
  6. Step 6: Final answer
    x = 1,541.11

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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.