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Finding the Fourth Proportional to 1,561.38, 2,341.35 and 695.67

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Solution

The fourth proportional to 1,561.38, 2,341.35 and 695.67 is: 1,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.38 : 2,341.35 = 695.67 : x
  2. Step 2: Convert to fraction form
    1,561.38/2,341.35 = 695.67/x
  3. Step 3: Cross multiply
    1,561.38x = 2,341.35 × 695.67
  4. Step 4: Simplify right side
    1,561.38x = 1,628,806.95
  5. Step 5: Solve for x
    x = 1,628,806.95/1,561.38
  6. Step 6: Final answer
    x = 1,043.18

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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.