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Finding the Fourth Proportional to 1,475.01, 2,037.74 and 972.09

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Solution

The fourth proportional to 1,475.01, 2,037.74 and 972.09 is: 1,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.01 : 2,037.74 = 972.09 : x
  2. Step 2: Convert to fraction form
    1,475.01/2,037.74 = 972.09/x
  3. Step 3: Cross multiply
    1,475.01x = 2,037.74 × 972.09
  4. Step 4: Simplify right side
    1,475.01x = 1,980,861.82
  5. Step 5: Solve for x
    x = 1,980,861.82/1,475.01
  6. Step 6: Final answer
    x = 1,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.