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Finding the Fourth Proportional to 2,085.30, 3,127.86 and 698.64

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Solution

The fourth proportional to 2,085.30, 3,127.86 and 698.64 is: 1,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.30 : 3,127.86 = 698.64 : x
  2. Step 2: Convert to fraction form
    2,085.30/3,127.86 = 698.64/x
  3. Step 3: Cross multiply
    2,085.30x = 3,127.86 × 698.64
  4. Step 4: Simplify right side
    2,085.30x = 2,185,248.11
  5. Step 5: Solve for x
    x = 2,185,248.11/2,085.30
  6. Step 6: Final answer
    x = 1,047.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.