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Finding the Fourth Proportional to 2,774.68, 4,159.44 and 1,458.16

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Solution

The fourth proportional to 2,774.68, 4,159.44 and 1,458.16 is: 2,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.68 : 4,159.44 = 1,458.16 : x
  2. Step 2: Convert to fraction form
    2,774.68/4,159.44 = 1,458.16/x
  3. Step 3: Cross multiply
    2,774.68x = 4,159.44 × 1,458.16
  4. Step 4: Simplify right side
    2,774.68x = 6,065,129.03
  5. Step 5: Solve for x
    x = 6,065,129.03/2,774.68
  6. Step 6: Final answer
    x = 2,185.88

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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.