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Finding the Fourth Proportional to 2,068.08, 2,854.18 and 1,184

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Solution

The fourth proportional to 2,068.08, 2,854.18 and 1,184 is: 1,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.08 : 2,854.18 = 1,184 : x
  2. Step 2: Convert to fraction form
    2,068.08/2,854.18 = 1,184/x
  3. Step 3: Cross multiply
    2,068.08x = 2,854.18 × 1,184
  4. Step 4: Simplify right side
    2,068.08x = 3,379,349.12
  5. Step 5: Solve for x
    x = 3,379,349.12/2,068.08
  6. Step 6: Final answer
    x = 1,634.05

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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.