Home / 1,466.04-2,199.74-735.52

Finding the Fourth Proportional to 1,466.04, 2,199.74 and 735.52

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Solution

The fourth proportional to 1,466.04, 2,199.74 and 735.52 is: 1,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.04 : 2,199.74 = 735.52 : x
  2. Step 2: Convert to fraction form
    1,466.04/2,199.74 = 735.52/x
  3. Step 3: Cross multiply
    1,466.04x = 2,199.74 × 735.52
  4. Step 4: Simplify right side
    1,466.04x = 1,617,952.76
  5. Step 5: Solve for x
    x = 1,617,952.76/1,466.04
  6. Step 6: Final answer
    x = 1,103.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.