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Finding the Fourth Proportional to 2,918.34, 4,377.51 and 970.54

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Solution

The fourth proportional to 2,918.34, 4,377.51 and 970.54 is: 1,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.34 : 4,377.51 = 970.54 : x
  2. Step 2: Convert to fraction form
    2,918.34/4,377.51 = 970.54/x
  3. Step 3: Cross multiply
    2,918.34x = 4,377.51 × 970.54
  4. Step 4: Simplify right side
    2,918.34x = 4,248,548.56
  5. Step 5: Solve for x
    x = 4,248,548.56/2,918.34
  6. Step 6: Final answer
    x = 1,455.81

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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.