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Finding the Fourth Proportional to 1,552.88, 2,330.70 and 1,388.08

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Solution

The fourth proportional to 1,552.88, 2,330.70 and 1,388.08 is: 2,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.88 : 2,330.70 = 1,388.08 : x
  2. Step 2: Convert to fraction form
    1,552.88/2,330.70 = 1,388.08/x
  3. Step 3: Cross multiply
    1,552.88x = 2,330.70 × 1,388.08
  4. Step 4: Simplify right side
    1,552.88x = 3,235,198.06
  5. Step 5: Solve for x
    x = 3,235,198.06/1,552.88
  6. Step 6: Final answer
    x = 2,083.35

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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.