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Finding the Fourth Proportional to 1,625.76, 2,433.78 and 1,106.28

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Solution

The fourth proportional to 1,625.76, 2,433.78 and 1,106.28 is: 1,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.76 : 2,433.78 = 1,106.28 : x
  2. Step 2: Convert to fraction form
    1,625.76/2,433.78 = 1,106.28/x
  3. Step 3: Cross multiply
    1,625.76x = 2,433.78 × 1,106.28
  4. Step 4: Simplify right side
    1,625.76x = 2,692,442.14
  5. Step 5: Solve for x
    x = 2,692,442.14/1,625.76
  6. Step 6: Final answer
    x = 1,656.11

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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.