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Finding the Fourth Proportional to 2,703.52, 4,056.80 and 1,242.72

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Solution

The fourth proportional to 2,703.52, 4,056.80 and 1,242.72 is: 1,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.52 : 4,056.80 = 1,242.72 : x
  2. Step 2: Convert to fraction form
    2,703.52/4,056.80 = 1,242.72/x
  3. Step 3: Cross multiply
    2,703.52x = 4,056.80 × 1,242.72
  4. Step 4: Simplify right side
    2,703.52x = 5,041,466.50
  5. Step 5: Solve for x
    x = 5,041,466.50/2,703.52
  6. Step 6: Final answer
    x = 1,864.78

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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.