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Finding the Fourth Proportional to 2,740.48, 4,111.05 and 985.21

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Solution

The fourth proportional to 2,740.48, 4,111.05 and 985.21 is: 1,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.48 : 4,111.05 = 985.21 : x
  2. Step 2: Convert to fraction form
    2,740.48/4,111.05 = 985.21/x
  3. Step 3: Cross multiply
    2,740.48x = 4,111.05 × 985.21
  4. Step 4: Simplify right side
    2,740.48x = 4,050,247.57
  5. Step 5: Solve for x
    x = 4,050,247.57/2,740.48
  6. Step 6: Final answer
    x = 1,477.93

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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.