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Finding the Fourth Proportional to 2,842.84, 4,267.52 and 1,691.04

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Solution

The fourth proportional to 2,842.84, 4,267.52 and 1,691.04 is: 2,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.84 : 4,267.52 = 1,691.04 : x
  2. Step 2: Convert to fraction form
    2,842.84/4,267.52 = 1,691.04/x
  3. Step 3: Cross multiply
    2,842.84x = 4,267.52 × 1,691.04
  4. Step 4: Simplify right side
    2,842.84x = 7,216,547.02
  5. Step 5: Solve for x
    x = 7,216,547.02/2,842.84
  6. Step 6: Final answer
    x = 2,538.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.