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Finding the Fourth Proportional to 2,098.48, 2,891.12 and 1,656.22

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Solution

The fourth proportional to 2,098.48, 2,891.12 and 1,656.22 is: 2,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.48 : 2,891.12 = 1,656.22 : x
  2. Step 2: Convert to fraction form
    2,098.48/2,891.12 = 1,656.22/x
  3. Step 3: Cross multiply
    2,098.48x = 2,891.12 × 1,656.22
  4. Step 4: Simplify right side
    2,098.48x = 4,788,330.77
  5. Step 5: Solve for x
    x = 4,788,330.77/2,098.48
  6. Step 6: Final answer
    x = 2,281.81

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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.