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Finding the Fourth Proportional to 2,166.65, 2,988.73 and 1,502.36

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Solution

The fourth proportional to 2,166.65, 2,988.73 and 1,502.36 is: 2,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.65 : 2,988.73 = 1,502.36 : x
  2. Step 2: Convert to fraction form
    2,166.65/2,988.73 = 1,502.36/x
  3. Step 3: Cross multiply
    2,166.65x = 2,988.73 × 1,502.36
  4. Step 4: Simplify right side
    2,166.65x = 4,490,129.70
  5. Step 5: Solve for x
    x = 4,490,129.70/2,166.65
  6. Step 6: Final answer
    x = 2,072.39

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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.