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Finding the Fourth Proportional to 2,101, 2,902.90 and 1,473.88

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Solution

The fourth proportional to 2,101, 2,902.90 and 1,473.88 is: 2,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101 : 2,902.90 = 1,473.88 : x
  2. Step 2: Convert to fraction form
    2,101/2,902.90 = 1,473.88/x
  3. Step 3: Cross multiply
    2,101x = 2,902.90 × 1,473.88
  4. Step 4: Simplify right side
    2,101x = 4,278,526.25
  5. Step 5: Solve for x
    x = 4,278,526.25/2,101
  6. Step 6: Final answer
    x = 2,036.42

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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.