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Finding the Fourth Proportional to 1,560.84, 2,339.24 and 1,362.20

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Solution

The fourth proportional to 1,560.84, 2,339.24 and 1,362.20 is: 2,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.84 : 2,339.24 = 1,362.20 : x
  2. Step 2: Convert to fraction form
    1,560.84/2,339.24 = 1,362.20/x
  3. Step 3: Cross multiply
    1,560.84x = 2,339.24 × 1,362.20
  4. Step 4: Simplify right side
    1,560.84x = 3,186,494.22
  5. Step 5: Solve for x
    x = 3,186,494.22/1,560.84
  6. Step 6: Final answer
    x = 2,041.53

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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.