Home / 1,466.42-2,202.05-974.34

Finding the Fourth Proportional to 1,466.42, 2,202.05 and 974.34

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Solution

The fourth proportional to 1,466.42, 2,202.05 and 974.34 is: 1,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.42 : 2,202.05 = 974.34 : x
  2. Step 2: Convert to fraction form
    1,466.42/2,202.05 = 974.34/x
  3. Step 3: Cross multiply
    1,466.42x = 2,202.05 × 974.34
  4. Step 4: Simplify right side
    1,466.42x = 2,145,547.83
  5. Step 5: Solve for x
    x = 2,145,547.83/1,466.42
  6. Step 6: Final answer
    x = 1,463.12

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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.