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Finding the Fourth Proportional to 1,862.58, 2,572.47 and 1,447.95

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Solution

The fourth proportional to 1,862.58, 2,572.47 and 1,447.95 is: 1,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.58 : 2,572.47 = 1,447.95 : x
  2. Step 2: Convert to fraction form
    1,862.58/2,572.47 = 1,447.95/x
  3. Step 3: Cross multiply
    1,862.58x = 2,572.47 × 1,447.95
  4. Step 4: Simplify right side
    1,862.58x = 3,724,807.94
  5. Step 5: Solve for x
    x = 3,724,807.94/1,862.58
  6. Step 6: Final answer
    x = 1,999.81

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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.