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Finding the Fourth Proportional to 4,652.40, 6,979.60 and 1,365.24

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Solution

The fourth proportional to 4,652.40, 6,979.60 and 1,365.24 is: 2,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.40 : 6,979.60 = 1,365.24 : x
  2. Step 2: Convert to fraction form
    4,652.40/6,979.60 = 1,365.24/x
  3. Step 3: Cross multiply
    4,652.40x = 6,979.60 × 1,365.24
  4. Step 4: Simplify right side
    4,652.40x = 9,528,829.10
  5. Step 5: Solve for x
    x = 9,528,829.10/4,652.40
  6. Step 6: Final answer
    x = 2,048.15

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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.