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Finding the Fourth Proportional to 2,085.57, 2,878.07 and 1,154.07

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Solution

The fourth proportional to 2,085.57, 2,878.07 and 1,154.07 is: 1,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.57 : 2,878.07 = 1,154.07 : x
  2. Step 2: Convert to fraction form
    2,085.57/2,878.07 = 1,154.07/x
  3. Step 3: Cross multiply
    2,085.57x = 2,878.07 × 1,154.07
  4. Step 4: Simplify right side
    2,085.57x = 3,321,488.47
  5. Step 5: Solve for x
    x = 3,321,488.47/2,085.57
  6. Step 6: Final answer
    x = 1,592.60

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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.