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Finding the Fourth Proportional to 1,870, 2,581.06 and 1,161.98

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Solution

The fourth proportional to 1,870, 2,581.06 and 1,161.98 is: 1,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870 : 2,581.06 = 1,161.98 : x
  2. Step 2: Convert to fraction form
    1,870/2,581.06 = 1,161.98/x
  3. Step 3: Cross multiply
    1,870x = 2,581.06 × 1,161.98
  4. Step 4: Simplify right side
    1,870x = 2,999,140.10
  5. Step 5: Solve for x
    x = 2,999,140.10/1,870
  6. Step 6: Final answer
    x = 1,603.82

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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.