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Finding the Fourth Proportional to 2,702.34, 4,051.08 and 970.56

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Solution

The fourth proportional to 2,702.34, 4,051.08 and 970.56 is: 1,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.34 : 4,051.08 = 970.56 : x
  2. Step 2: Convert to fraction form
    2,702.34/4,051.08 = 970.56/x
  3. Step 3: Cross multiply
    2,702.34x = 4,051.08 × 970.56
  4. Step 4: Simplify right side
    2,702.34x = 3,931,816.20
  5. Step 5: Solve for x
    x = 3,931,816.20/2,702.34
  6. Step 6: Final answer
    x = 1,454.97

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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.