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Finding the Fourth Proportional to 1,855.04, 2,781.24 and 929.93

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Solution

The fourth proportional to 1,855.04, 2,781.24 and 929.93 is: 1,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.04 : 2,781.24 = 929.93 : x
  2. Step 2: Convert to fraction form
    1,855.04/2,781.24 = 929.93/x
  3. Step 3: Cross multiply
    1,855.04x = 2,781.24 × 929.93
  4. Step 4: Simplify right side
    1,855.04x = 2,586,358.51
  5. Step 5: Solve for x
    x = 2,586,358.51/1,855.04
  6. Step 6: Final answer
    x = 1,394.23

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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.