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Finding the Fourth Proportional to 1,506.04, 2,078.28 and 876.59

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Solution

The fourth proportional to 1,506.04, 2,078.28 and 876.59 is: 1,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.04 : 2,078.28 = 876.59 : x
  2. Step 2: Convert to fraction form
    1,506.04/2,078.28 = 876.59/x
  3. Step 3: Cross multiply
    1,506.04x = 2,078.28 × 876.59
  4. Step 4: Simplify right side
    1,506.04x = 1,821,789.89
  5. Step 5: Solve for x
    x = 1,821,789.89/1,506.04
  6. Step 6: Final answer
    x = 1,209.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.