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Finding the Fourth Proportional to 2,508.96, 3,763.44 and 1,140

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Solution

The fourth proportional to 2,508.96, 3,763.44 and 1,140 is: 1,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.96 : 3,763.44 = 1,140 : x
  2. Step 2: Convert to fraction form
    2,508.96/3,763.44 = 1,140/x
  3. Step 3: Cross multiply
    2,508.96x = 3,763.44 × 1,140
  4. Step 4: Simplify right side
    2,508.96x = 4,290,321.60
  5. Step 5: Solve for x
    x = 4,290,321.60/2,508.96
  6. Step 6: Final answer
    x = 1,710.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.