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Finding the Fourth Proportional to 2,767.59, 4,148.35 and 1,534.57

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Solution

The fourth proportional to 2,767.59, 4,148.35 and 1,534.57 is: 2,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.59 : 4,148.35 = 1,534.57 : x
  2. Step 2: Convert to fraction form
    2,767.59/4,148.35 = 1,534.57/x
  3. Step 3: Cross multiply
    2,767.59x = 4,148.35 × 1,534.57
  4. Step 4: Simplify right side
    2,767.59x = 6,365,919.25
  5. Step 5: Solve for x
    x = 6,365,919.25/2,767.59
  6. Step 6: Final answer
    x = 2,300.17

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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.