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Finding the Fourth Proportional to 3,114.42, 4,670.16 and 1,653.18

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Solution

The fourth proportional to 3,114.42, 4,670.16 and 1,653.18 is: 2,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.42 : 4,670.16 = 1,653.18 : x
  2. Step 2: Convert to fraction form
    3,114.42/4,670.16 = 1,653.18/x
  3. Step 3: Cross multiply
    3,114.42x = 4,670.16 × 1,653.18
  4. Step 4: Simplify right side
    3,114.42x = 7,720,615.11
  5. Step 5: Solve for x
    x = 7,720,615.11/3,114.42
  6. Step 6: Final answer
    x = 2,478.99

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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.