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Finding the Fourth Proportional to 1,869.40, 2,803.07 and 773.15

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Solution

The fourth proportional to 1,869.40, 2,803.07 and 773.15 is: 1,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.40 : 2,803.07 = 773.15 : x
  2. Step 2: Convert to fraction form
    1,869.40/2,803.07 = 773.15/x
  3. Step 3: Cross multiply
    1,869.40x = 2,803.07 × 773.15
  4. Step 4: Simplify right side
    1,869.40x = 2,167,202.51
  5. Step 5: Solve for x
    x = 2,167,202.51/1,869.40
  6. Step 6: Final answer
    x = 1,159.31

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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.