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Finding the Fourth Proportional to 2,068.20, 2,851.20 and 1,405.08

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Solution

The fourth proportional to 2,068.20, 2,851.20 and 1,405.08 is: 1,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.20 : 2,851.20 = 1,405.08 : x
  2. Step 2: Convert to fraction form
    2,068.20/2,851.20 = 1,405.08/x
  3. Step 3: Cross multiply
    2,068.20x = 2,851.20 × 1,405.08
  4. Step 4: Simplify right side
    2,068.20x = 4,006,164.10
  5. Step 5: Solve for x
    x = 4,006,164.10/2,068.20
  6. Step 6: Final answer
    x = 1,937.03

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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.