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Finding the Fourth Proportional to 2,552.04, 3,827.88 and 703.44

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Solution

The fourth proportional to 2,552.04, 3,827.88 and 703.44 is: 1,055.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.04 : 3,827.88 = 703.44 : x
  2. Step 2: Convert to fraction form
    2,552.04/3,827.88 = 703.44/x
  3. Step 3: Cross multiply
    2,552.04x = 3,827.88 × 703.44
  4. Step 4: Simplify right side
    2,552.04x = 2,692,683.91
  5. Step 5: Solve for x
    x = 2,692,683.91/2,552.04
  6. Step 6: Final answer
    x = 1,055.11

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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.