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Finding the Fourth Proportional to 2,087.62, 3,130.62 and 1,113.19

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Solution

The fourth proportional to 2,087.62, 3,130.62 and 1,113.19 is: 1,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.62 : 3,130.62 = 1,113.19 : x
  2. Step 2: Convert to fraction form
    2,087.62/3,130.62 = 1,113.19/x
  3. Step 3: Cross multiply
    2,087.62x = 3,130.62 × 1,113.19
  4. Step 4: Simplify right side
    2,087.62x = 3,484,974.88
  5. Step 5: Solve for x
    x = 3,484,974.88/2,087.62
  6. Step 6: Final answer
    x = 1,669.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.