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Finding the Fourth Proportional to 2,097.87, 2,888.76 and 1,654.39

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Solution

The fourth proportional to 2,097.87, 2,888.76 and 1,654.39 is: 2,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.87 : 2,888.76 = 1,654.39 : x
  2. Step 2: Convert to fraction form
    2,097.87/2,888.76 = 1,654.39/x
  3. Step 3: Cross multiply
    2,097.87x = 2,888.76 × 1,654.39
  4. Step 4: Simplify right side
    2,097.87x = 4,779,135.66
  5. Step 5: Solve for x
    x = 4,779,135.66/2,097.87
  6. Step 6: Final answer
    x = 2,278.09

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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.