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Finding the Fourth Proportional to 2,390.07, 3,586.34 and 985.53

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Solution

The fourth proportional to 2,390.07, 3,586.34 and 985.53 is: 1,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.07 : 3,586.34 = 985.53 : x
  2. Step 2: Convert to fraction form
    2,390.07/3,586.34 = 985.53/x
  3. Step 3: Cross multiply
    2,390.07x = 3,586.34 × 985.53
  4. Step 4: Simplify right side
    2,390.07x = 3,534,440.73
  5. Step 5: Solve for x
    x = 3,534,440.73/2,390.07
  6. Step 6: Final answer
    x = 1,478.80

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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.