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Finding the Fourth Proportional to 2,047.60, 3,071.58 and 749.08

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Solution

The fourth proportional to 2,047.60, 3,071.58 and 749.08 is: 1,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.60 : 3,071.58 = 749.08 : x
  2. Step 2: Convert to fraction form
    2,047.60/3,071.58 = 749.08/x
  3. Step 3: Cross multiply
    2,047.60x = 3,071.58 × 749.08
  4. Step 4: Simplify right side
    2,047.60x = 2,300,859.15
  5. Step 5: Solve for x
    x = 2,300,859.15/2,047.60
  6. Step 6: Final answer
    x = 1,123.69

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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.