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Finding the Fourth Proportional to 1,697.83, 2,341.71 and 1,462.16

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Solution

The fourth proportional to 1,697.83, 2,341.71 and 1,462.16 is: 2,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.83 : 2,341.71 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    1,697.83/2,341.71 = 1,462.16/x
  3. Step 3: Cross multiply
    1,697.83x = 2,341.71 × 1,462.16
  4. Step 4: Simplify right side
    1,697.83x = 3,423,960.55
  5. Step 5: Solve for x
    x = 3,423,960.55/1,697.83
  6. Step 6: Final answer
    x = 2,016.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.