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Finding the Fourth Proportional to 3,133.06, 4,693.88 and 1,464.10

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Solution

The fourth proportional to 3,133.06, 4,693.88 and 1,464.10 is: 2,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.06 : 4,693.88 = 1,464.10 : x
  2. Step 2: Convert to fraction form
    3,133.06/4,693.88 = 1,464.10/x
  3. Step 3: Cross multiply
    3,133.06x = 4,693.88 × 1,464.10
  4. Step 4: Simplify right side
    3,133.06x = 6,872,309.71
  5. Step 5: Solve for x
    x = 6,872,309.71/3,133.06
  6. Step 6: Final answer
    x = 2,193.48

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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.