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Finding the Fourth Proportional to 4,287.33, 6,430.34 and 1,656.08

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Solution

The fourth proportional to 4,287.33, 6,430.34 and 1,656.08 is: 2,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.33 : 6,430.34 = 1,656.08 : x
  2. Step 2: Convert to fraction form
    4,287.33/6,430.34 = 1,656.08/x
  3. Step 3: Cross multiply
    4,287.33x = 6,430.34 × 1,656.08
  4. Step 4: Simplify right side
    4,287.33x = 10,649,153.57
  5. Step 5: Solve for x
    x = 10,649,153.57/4,287.33
  6. Step 6: Final answer
    x = 2,483.87

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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.