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Finding the Fourth Proportional to 1,702.32, 2,552.22 and 1,051.74

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Solution

The fourth proportional to 1,702.32, 2,552.22 and 1,051.74 is: 1,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.32 : 2,552.22 = 1,051.74 : x
  2. Step 2: Convert to fraction form
    1,702.32/2,552.22 = 1,051.74/x
  3. Step 3: Cross multiply
    1,702.32x = 2,552.22 × 1,051.74
  4. Step 4: Simplify right side
    1,702.32x = 2,684,271.86
  5. Step 5: Solve for x
    x = 2,684,271.86/1,702.32
  6. Step 6: Final answer
    x = 1,576.83

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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.