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Finding the Fourth Proportional to 2,984.30, 4,114.45 and 1,920.16

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Solution

The fourth proportional to 2,984.30, 4,114.45 and 1,920.16 is: 2,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.30 : 4,114.45 = 1,920.16 : x
  2. Step 2: Convert to fraction form
    2,984.30/4,114.45 = 1,920.16/x
  3. Step 3: Cross multiply
    2,984.30x = 4,114.45 × 1,920.16
  4. Step 4: Simplify right side
    2,984.30x = 7,900,402.31
  5. Step 5: Solve for x
    x = 7,900,402.31/2,984.30
  6. Step 6: Final answer
    x = 2,647.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.