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Finding the Fourth Proportional to 1,902.95, 2,626.58 and 1,117.25

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Solution

The fourth proportional to 1,902.95, 2,626.58 and 1,117.25 is: 1,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.95 : 2,626.58 = 1,117.25 : x
  2. Step 2: Convert to fraction form
    1,902.95/2,626.58 = 1,117.25/x
  3. Step 3: Cross multiply
    1,902.95x = 2,626.58 × 1,117.25
  4. Step 4: Simplify right side
    1,902.95x = 2,934,536.17
  5. Step 5: Solve for x
    x = 2,934,536.17/1,902.95
  6. Step 6: Final answer
    x = 1,542.10

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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.