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Finding the Fourth Proportional to 2,068.11, 2,852.03 and 1,358.70

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Solution

The fourth proportional to 2,068.11, 2,852.03 and 1,358.70 is: 1,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.11 : 2,852.03 = 1,358.70 : x
  2. Step 2: Convert to fraction form
    2,068.11/2,852.03 = 1,358.70/x
  3. Step 3: Cross multiply
    2,068.11x = 2,852.03 × 1,358.70
  4. Step 4: Simplify right side
    2,068.11x = 3,875,053.16
  5. Step 5: Solve for x
    x = 3,875,053.16/2,068.11
  6. Step 6: Final answer
    x = 1,873.72

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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.