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Finding the Fourth Proportional to 3,061.70, 4,588.29 and 1,597.92

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Solution

The fourth proportional to 3,061.70, 4,588.29 and 1,597.92 is: 2,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.70 : 4,588.29 = 1,597.92 : x
  2. Step 2: Convert to fraction form
    3,061.70/4,588.29 = 1,597.92/x
  3. Step 3: Cross multiply
    3,061.70x = 4,588.29 × 1,597.92
  4. Step 4: Simplify right side
    3,061.70x = 7,331,712.37
  5. Step 5: Solve for x
    x = 7,331,712.37/3,061.70
  6. Step 6: Final answer
    x = 2,394.66

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