Home / 1,472.34-2,206.08-923.16

Finding the Fourth Proportional to 1,472.34, 2,206.08 and 923.16

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Solution

The fourth proportional to 1,472.34, 2,206.08 and 923.16 is: 1,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.34 : 2,206.08 = 923.16 : x
  2. Step 2: Convert to fraction form
    1,472.34/2,206.08 = 923.16/x
  3. Step 3: Cross multiply
    1,472.34x = 2,206.08 × 923.16
  4. Step 4: Simplify right side
    1,472.34x = 2,036,564.81
  5. Step 5: Solve for x
    x = 2,036,564.81/1,472.34
  6. Step 6: Final answer
    x = 1,383.22

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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.