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Finding the Fourth Proportional to 2,300.75, 3,452.54 and 1,002.32

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Solution

The fourth proportional to 2,300.75, 3,452.54 and 1,002.32 is: 1,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.75 : 3,452.54 = 1,002.32 : x
  2. Step 2: Convert to fraction form
    2,300.75/3,452.54 = 1,002.32/x
  3. Step 3: Cross multiply
    2,300.75x = 3,452.54 × 1,002.32
  4. Step 4: Simplify right side
    2,300.75x = 3,460,549.89
  5. Step 5: Solve for x
    x = 3,460,549.89/2,300.75
  6. Step 6: Final answer
    x = 1,504.10

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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.