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Finding the Fourth Proportional to 1,860.68, 2,567.77 and 1,114.67

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Solution

The fourth proportional to 1,860.68, 2,567.77 and 1,114.67 is: 1,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.68 : 2,567.77 = 1,114.67 : x
  2. Step 2: Convert to fraction form
    1,860.68/2,567.77 = 1,114.67/x
  3. Step 3: Cross multiply
    1,860.68x = 2,567.77 × 1,114.67
  4. Step 4: Simplify right side
    1,860.68x = 2,862,219.82
  5. Step 5: Solve for x
    x = 2,862,219.82/1,860.68
  6. Step 6: Final answer
    x = 1,538.26

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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.