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Finding the Fourth Proportional to 2,403.60, 3,605.44 and 760.16

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Solution

The fourth proportional to 2,403.60, 3,605.44 and 760.16 is: 1,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.60 : 3,605.44 = 760.16 : x
  2. Step 2: Convert to fraction form
    2,403.60/3,605.44 = 760.16/x
  3. Step 3: Cross multiply
    2,403.60x = 3,605.44 × 760.16
  4. Step 4: Simplify right side
    2,403.60x = 2,740,707.53
  5. Step 5: Solve for x
    x = 2,740,707.53/2,403.60
  6. Step 6: Final answer
    x = 1,140.25

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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.