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Finding the Fourth Proportional to 1,860.76, 2,567.66 and 1,114.70

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Solution

The fourth proportional to 1,860.76, 2,567.66 and 1,114.70 is: 1,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.76 : 2,567.66 = 1,114.70 : x
  2. Step 2: Convert to fraction form
    1,860.76/2,567.66 = 1,114.70/x
  3. Step 3: Cross multiply
    1,860.76x = 2,567.66 × 1,114.70
  4. Step 4: Simplify right side
    1,860.76x = 2,862,155.68
  5. Step 5: Solve for x
    x = 2,862,155.68/1,860.76
  6. Step 6: Final answer
    x = 1,538.17

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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.