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Finding the Fourth Proportional to 1,697, 2,534.32 and 1,466.36

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Solution

The fourth proportional to 1,697, 2,534.32 and 1,466.36 is: 2,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697 : 2,534.32 = 1,466.36 : x
  2. Step 2: Convert to fraction form
    1,697/2,534.32 = 1,466.36/x
  3. Step 3: Cross multiply
    1,697x = 2,534.32 × 1,466.36
  4. Step 4: Simplify right side
    1,697x = 3,716,225.48
  5. Step 5: Solve for x
    x = 3,716,225.48/1,697
  6. Step 6: Final answer
    x = 2,189.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.