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Finding the Fourth Proportional to 2,918.76, 4,378.06 and 970.98

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Solution

The fourth proportional to 2,918.76, 4,378.06 and 970.98 is: 1,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.76 : 4,378.06 = 970.98 : x
  2. Step 2: Convert to fraction form
    2,918.76/4,378.06 = 970.98/x
  3. Step 3: Cross multiply
    2,918.76x = 4,378.06 × 970.98
  4. Step 4: Simplify right side
    2,918.76x = 4,251,008.70
  5. Step 5: Solve for x
    x = 4,251,008.70/2,918.76
  6. Step 6: Final answer
    x = 1,456.44

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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.