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Finding the Fourth Proportional to 1,346.17, 2,015.61 and 695.53

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Solution

The fourth proportional to 1,346.17, 2,015.61 and 695.53 is: 1,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.17 : 2,015.61 = 695.53 : x
  2. Step 2: Convert to fraction form
    1,346.17/2,015.61 = 695.53/x
  3. Step 3: Cross multiply
    1,346.17x = 2,015.61 × 695.53
  4. Step 4: Simplify right side
    1,346.17x = 1,401,917.22
  5. Step 5: Solve for x
    x = 1,401,917.22/1,346.17
  6. Step 6: Final answer
    x = 1,041.41

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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.