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Finding the Fourth Proportional to 2,663.03, 3,672.12 and 1,866.10

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Solution

The fourth proportional to 2,663.03, 3,672.12 and 1,866.10 is: 2,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.03 : 3,672.12 = 1,866.10 : x
  2. Step 2: Convert to fraction form
    2,663.03/3,672.12 = 1,866.10/x
  3. Step 3: Cross multiply
    2,663.03x = 3,672.12 × 1,866.10
  4. Step 4: Simplify right side
    2,663.03x = 6,852,543.13
  5. Step 5: Solve for x
    x = 6,852,543.13/2,663.03
  6. Step 6: Final answer
    x = 2,573.21

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1.5x scale

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.