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Finding the Fourth Proportional to 1,502.99, 2,077.00 and 1,207.74

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Solution

The fourth proportional to 1,502.99, 2,077.00 and 1,207.74 is: 1,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.99 : 2,077.00 = 1,207.74 : x
  2. Step 2: Convert to fraction form
    1,502.99/2,077.00 = 1,207.74/x
  3. Step 3: Cross multiply
    1,502.99x = 2,077.00 × 1,207.74
  4. Step 4: Simplify right side
    1,502.99x = 2,508,472.96
  5. Step 5: Solve for x
    x = 2,508,472.96/1,502.99
  6. Step 6: Final answer
    x = 1,668.99

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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.