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Finding the Fourth Proportional to 2,505.64, 3,460.26 and 2,065

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Solution

The fourth proportional to 2,505.64, 3,460.26 and 2,065 is: 2,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.64 : 3,460.26 = 2,065 : x
  2. Step 2: Convert to fraction form
    2,505.64/3,460.26 = 2,065/x
  3. Step 3: Cross multiply
    2,505.64x = 3,460.26 × 2,065
  4. Step 4: Simplify right side
    2,505.64x = 7,145,436.90
  5. Step 5: Solve for x
    x = 7,145,436.90/2,505.64
  6. Step 6: Final answer
    x = 2,851.74

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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.