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Finding the Fourth Proportional to 1,258.74, 1,878.86 and 1,110.95

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Solution

The fourth proportional to 1,258.74, 1,878.86 and 1,110.95 is: 1,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.74 : 1,878.86 = 1,110.95 : x
  2. Step 2: Convert to fraction form
    1,258.74/1,878.86 = 1,110.95/x
  3. Step 3: Cross multiply
    1,258.74x = 1,878.86 × 1,110.95
  4. Step 4: Simplify right side
    1,258.74x = 2,087,319.95
  5. Step 5: Solve for x
    x = 2,087,319.95/1,258.74
  6. Step 6: Final answer
    x = 1,658.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.