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Finding the Fourth Proportional to 2,807.60, 4,210.85 and 1,052.26

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Solution

The fourth proportional to 2,807.60, 4,210.85 and 1,052.26 is: 1,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.60 : 4,210.85 = 1,052.26 : x
  2. Step 2: Convert to fraction form
    2,807.60/4,210.85 = 1,052.26/x
  3. Step 3: Cross multiply
    2,807.60x = 4,210.85 × 1,052.26
  4. Step 4: Simplify right side
    2,807.60x = 4,430,901.12
  5. Step 5: Solve for x
    x = 4,430,901.12/2,807.60
  6. Step 6: Final answer
    x = 1,578.18

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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.