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Finding the Fourth Proportional to 2,129.04, 2,938.08 and 1,184.82

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Solution

The fourth proportional to 2,129.04, 2,938.08 and 1,184.82 is: 1,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.04 : 2,938.08 = 1,184.82 : x
  2. Step 2: Convert to fraction form
    2,129.04/2,938.08 = 1,184.82/x
  3. Step 3: Cross multiply
    2,129.04x = 2,938.08 × 1,184.82
  4. Step 4: Simplify right side
    2,129.04x = 3,481,095.95
  5. Step 5: Solve for x
    x = 3,481,095.95/2,129.04
  6. Step 6: Final answer
    x = 1,635.05

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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.