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Finding the Fourth Proportional to 2,074.48, 2,856.72 and 1,549.60

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Solution

The fourth proportional to 2,074.48, 2,856.72 and 1,549.60 is: 2,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.48 : 2,856.72 = 1,549.60 : x
  2. Step 2: Convert to fraction form
    2,074.48/2,856.72 = 1,549.60/x
  3. Step 3: Cross multiply
    2,074.48x = 2,856.72 × 1,549.60
  4. Step 4: Simplify right side
    2,074.48x = 4,426,773.31
  5. Step 5: Solve for x
    x = 4,426,773.31/2,074.48
  6. Step 6: Final answer
    x = 2,133.92

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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.