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Finding the Fourth Proportional to 2,101.74, 2,901.19 and 1,652.44

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Solution

The fourth proportional to 2,101.74, 2,901.19 and 1,652.44 is: 2,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.74 : 2,901.19 = 1,652.44 : x
  2. Step 2: Convert to fraction form
    2,101.74/2,901.19 = 1,652.44/x
  3. Step 3: Cross multiply
    2,101.74x = 2,901.19 × 1,652.44
  4. Step 4: Simplify right side
    2,101.74x = 4,794,019.64
  5. Step 5: Solve for x
    x = 4,794,019.64/2,101.74
  6. Step 6: Final answer
    x = 2,280.98

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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.