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Finding the Fourth Proportional to 2,347.66, 3,235.70 and 2,047.02

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Solution

The fourth proportional to 2,347.66, 3,235.70 and 2,047.02 is: 2,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.66 : 3,235.70 = 2,047.02 : x
  2. Step 2: Convert to fraction form
    2,347.66/3,235.70 = 2,047.02/x
  3. Step 3: Cross multiply
    2,347.66x = 3,235.70 × 2,047.02
  4. Step 4: Simplify right side
    2,347.66x = 6,623,542.61
  5. Step 5: Solve for x
    x = 6,623,542.61/2,347.66
  6. Step 6: Final answer
    x = 2,821.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.