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Finding the Fourth Proportional to 1,873.05, 2,808.01 and 702.39

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Solution

The fourth proportional to 1,873.05, 2,808.01 and 702.39 is: 1,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.05 : 2,808.01 = 702.39 : x
  2. Step 2: Convert to fraction form
    1,873.05/2,808.01 = 702.39/x
  3. Step 3: Cross multiply
    1,873.05x = 2,808.01 × 702.39
  4. Step 4: Simplify right side
    1,873.05x = 1,972,316.39
  5. Step 5: Solve for x
    x = 1,972,316.39/1,873.05
  6. Step 6: Final answer
    x = 1,053.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.