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Finding the Fourth Proportional to 1,669.74, 2,502.33 and 974.94

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Solution

The fourth proportional to 1,669.74, 2,502.33 and 974.94 is: 1,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.74 : 2,502.33 = 974.94 : x
  2. Step 2: Convert to fraction form
    1,669.74/2,502.33 = 974.94/x
  3. Step 3: Cross multiply
    1,669.74x = 2,502.33 × 974.94
  4. Step 4: Simplify right side
    1,669.74x = 2,439,621.61
  5. Step 5: Solve for x
    x = 2,439,621.61/1,669.74
  6. Step 6: Final answer
    x = 1,461.08

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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.