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Finding the Fourth Proportional to 1,823.78, 2,516.25 and 1,078.01

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Solution

The fourth proportional to 1,823.78, 2,516.25 and 1,078.01 is: 1,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.78 : 2,516.25 = 1,078.01 : x
  2. Step 2: Convert to fraction form
    1,823.78/2,516.25 = 1,078.01/x
  3. Step 3: Cross multiply
    1,823.78x = 2,516.25 × 1,078.01
  4. Step 4: Simplify right side
    1,823.78x = 2,712,530.08
  5. Step 5: Solve for x
    x = 2,712,530.08/1,823.78
  6. Step 6: Final answer
    x = 1,487.32

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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.