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Finding the Fourth Proportional to 1,569.36, 2,353.80 and 415.20

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Solution

The fourth proportional to 1,569.36, 2,353.80 and 415.20 is: 622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.36 : 2,353.80 = 415.20 : x
  2. Step 2: Convert to fraction form
    1,569.36/2,353.80 = 415.20/x
  3. Step 3: Cross multiply
    1,569.36x = 2,353.80 × 415.20
  4. Step 4: Simplify right side
    1,569.36x = 977,297.76
  5. Step 5: Solve for x
    x = 977,297.76/1,569.36
  6. Step 6: Final answer
    x = 622.74

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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.