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Finding the Fourth Proportional to 2,807.34, 4,210.38 and 1,052.28

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Solution

The fourth proportional to 2,807.34, 4,210.38 and 1,052.28 is: 1,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.34 : 4,210.38 = 1,052.28 : x
  2. Step 2: Convert to fraction form
    2,807.34/4,210.38 = 1,052.28/x
  3. Step 3: Cross multiply
    2,807.34x = 4,210.38 × 1,052.28
  4. Step 4: Simplify right side
    2,807.34x = 4,430,498.67
  5. Step 5: Solve for x
    x = 4,430,498.67/2,807.34
  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.