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Finding the Fourth Proportional to 1,855.86, 2,560.08 and 1,156.02

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Solution

The fourth proportional to 1,855.86, 2,560.08 and 1,156.02 is: 1,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.86 : 2,560.08 = 1,156.02 : x
  2. Step 2: Convert to fraction form
    1,855.86/2,560.08 = 1,156.02/x
  3. Step 3: Cross multiply
    1,855.86x = 2,560.08 × 1,156.02
  4. Step 4: Simplify right side
    1,855.86x = 2,959,503.68
  5. Step 5: Solve for x
    x = 2,959,503.68/1,855.86
  6. Step 6: Final answer
    x = 1,594.68

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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.