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Finding the Fourth Proportional to 1,862.81, 2,569.70 and 1,164.59

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Solution

The fourth proportional to 1,862.81, 2,569.70 and 1,164.59 is: 1,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.81 : 2,569.70 = 1,164.59 : x
  2. Step 2: Convert to fraction form
    1,862.81/2,569.70 = 1,164.59/x
  3. Step 3: Cross multiply
    1,862.81x = 2,569.70 × 1,164.59
  4. Step 4: Simplify right side
    1,862.81x = 2,992,641.10
  5. Step 5: Solve for x
    x = 2,992,641.10/1,862.81
  6. Step 6: Final answer
    x = 1,606.52

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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.