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Finding the Fourth Proportional to 1,674.65, 2,512.23 and 1,572.14

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Solution

The fourth proportional to 1,674.65, 2,512.23 and 1,572.14 is: 2,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.65 : 2,512.23 = 1,572.14 : x
  2. Step 2: Convert to fraction form
    1,674.65/2,512.23 = 1,572.14/x
  3. Step 3: Cross multiply
    1,674.65x = 2,512.23 × 1,572.14
  4. Step 4: Simplify right side
    1,674.65x = 3,949,577.66
  5. Step 5: Solve for x
    x = 3,949,577.66/1,674.65
  6. Step 6: Final answer
    x = 2,358.45

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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.