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Finding the Fourth Proportional to 1,749.60, 2,624.40 and 1,587.60

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Solution

The fourth proportional to 1,749.60, 2,624.40 and 1,587.60 is: 2,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.60 : 2,624.40 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    1,749.60/2,624.40 = 1,587.60/x
  3. Step 3: Cross multiply
    1,749.60x = 2,624.40 × 1,587.60
  4. Step 4: Simplify right side
    1,749.60x = 4,166,497.44
  5. Step 5: Solve for x
    x = 4,166,497.44/1,749.60
  6. Step 6: Final answer
    x = 2,381.40

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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.