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Finding the Fourth Proportional to 2,165.02, 3,248.02 and 704.16

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Solution

The fourth proportional to 2,165.02, 3,248.02 and 704.16 is: 1,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.02 : 3,248.02 = 704.16 : x
  2. Step 2: Convert to fraction form
    2,165.02/3,248.02 = 704.16/x
  3. Step 3: Cross multiply
    2,165.02x = 3,248.02 × 704.16
  4. Step 4: Simplify right side
    2,165.02x = 2,287,125.76
  5. Step 5: Solve for x
    x = 2,287,125.76/2,165.02
  6. Step 6: Final answer
    x = 1,056.40

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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.