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Finding the Fourth Proportional to 2,085.57, 2,874.15 and 1,495.08

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Solution

The fourth proportional to 2,085.57, 2,874.15 and 1,495.08 is: 2,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.57 : 2,874.15 = 1,495.08 : x
  2. Step 2: Convert to fraction form
    2,085.57/2,874.15 = 1,495.08/x
  3. Step 3: Cross multiply
    2,085.57x = 2,874.15 × 1,495.08
  4. Step 4: Simplify right side
    2,085.57x = 4,297,084.18
  5. Step 5: Solve for x
    x = 4,297,084.18/2,085.57
  6. Step 6: Final answer
    x = 2,060.39

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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.