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Finding the Fourth Proportional to 1,561.02, 2,340.85 and 465.17

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Solution

The fourth proportional to 1,561.02, 2,340.85 and 465.17 is: 697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.02 : 2,340.85 = 465.17 : x
  2. Step 2: Convert to fraction form
    1,561.02/2,340.85 = 465.17/x
  3. Step 3: Cross multiply
    1,561.02x = 2,340.85 × 465.17
  4. Step 4: Simplify right side
    1,561.02x = 1,088,887.78
  5. Step 5: Solve for x
    x = 1,088,887.78/1,561.02
  6. Step 6: Final answer
    x = 697.55

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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.