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Finding the Fourth Proportional to 1,980.02, 2,970.48 and 747.38

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Solution

The fourth proportional to 1,980.02, 2,970.48 and 747.38 is: 1,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.02 : 2,970.48 = 747.38 : x
  2. Step 2: Convert to fraction form
    1,980.02/2,970.48 = 747.38/x
  3. Step 3: Cross multiply
    1,980.02x = 2,970.48 × 747.38
  4. Step 4: Simplify right side
    1,980.02x = 2,220,077.34
  5. Step 5: Solve for x
    x = 2,220,077.34/1,980.02
  6. Step 6: Final answer
    x = 1,121.24

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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.