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Finding the Fourth Proportional to 2,900.10, 4,001.22 and 1,641

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Solution

The fourth proportional to 2,900.10, 4,001.22 and 1,641 is: 2,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.10 : 4,001.22 = 1,641 : x
  2. Step 2: Convert to fraction form
    2,900.10/4,001.22 = 1,641/x
  3. Step 3: Cross multiply
    2,900.10x = 4,001.22 × 1,641
  4. Step 4: Simplify right side
    2,900.10x = 6,566,002.02
  5. Step 5: Solve for x
    x = 6,566,002.02/2,900.10
  6. Step 6: Final answer
    x = 2,264.06

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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.