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Finding the Fourth Proportional to 1,560.09, 2,340.14 and 405.75

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Solution

The fourth proportional to 1,560.09, 2,340.14 and 405.75 is: 608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.09 : 2,340.14 = 405.75 : x
  2. Step 2: Convert to fraction form
    1,560.09/2,340.14 = 405.75/x
  3. Step 3: Cross multiply
    1,560.09x = 2,340.14 × 405.75
  4. Step 4: Simplify right side
    1,560.09x = 949,509.78
  5. Step 5: Solve for x
    x = 949,509.78/1,560.09
  6. Step 6: Final answer
    x = 608.63

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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.