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Finding the Fourth Proportional to 1,405.88, 1,941 and 1,258.25

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Solution

The fourth proportional to 1,405.88, 1,941 and 1,258.25 is: 1,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.88 : 1,941 = 1,258.25 : x
  2. Step 2: Convert to fraction form
    1,405.88/1,941 = 1,258.25/x
  3. Step 3: Cross multiply
    1,405.88x = 1,941 × 1,258.25
  4. Step 4: Simplify right side
    1,405.88x = 2,442,253.55
  5. Step 5: Solve for x
    x = 2,442,253.55/1,405.88
  6. Step 6: Final answer
    x = 1,737.18

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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.