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Finding the Fourth Proportional to 2,068.66, 2,854.88 and 1,184.44

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Solution

The fourth proportional to 2,068.66, 2,854.88 and 1,184.44 is: 1,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.66 : 2,854.88 = 1,184.44 : x
  2. Step 2: Convert to fraction form
    2,068.66/2,854.88 = 1,184.44/x
  3. Step 3: Cross multiply
    2,068.66x = 2,854.88 × 1,184.44
  4. Step 4: Simplify right side
    2,068.66x = 3,381,434.07
  5. Step 5: Solve for x
    x = 3,381,434.07/2,068.66
  6. Step 6: Final answer
    x = 1,634.60

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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.