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Finding the Fourth Proportional to 2,444.96, 3,670.32 and 985.16

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Solution

The fourth proportional to 2,444.96, 3,670.32 and 985.16 is: 1,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.96 : 3,670.32 = 985.16 : x
  2. Step 2: Convert to fraction form
    2,444.96/3,670.32 = 985.16/x
  3. Step 3: Cross multiply
    2,444.96x = 3,670.32 × 985.16
  4. Step 4: Simplify right side
    2,444.96x = 3,615,852.45
  5. Step 5: Solve for x
    x = 3,615,852.45/2,444.96
  6. Step 6: Final answer
    x = 1,478.90

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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.