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Finding the Fourth Proportional to 2,347.02, 3,237.57 and 1,600.74

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Solution

The fourth proportional to 2,347.02, 3,237.57 and 1,600.74 is: 2,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.02 : 3,237.57 = 1,600.74 : x
  2. Step 2: Convert to fraction form
    2,347.02/3,237.57 = 1,600.74/x
  3. Step 3: Cross multiply
    2,347.02x = 3,237.57 × 1,600.74
  4. Step 4: Simplify right side
    2,347.02x = 5,182,507.80
  5. Step 5: Solve for x
    x = 5,182,507.80/2,347.02
  6. Step 6: Final answer
    x = 2,208.12

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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.