Home / 1,478.40-2,202.72-1,457.28

Finding the Fourth Proportional to 1,478.40, 2,202.72 and 1,457.28

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Solution

The fourth proportional to 1,478.40, 2,202.72 and 1,457.28 is: 2,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.40 : 2,202.72 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    1,478.40/2,202.72 = 1,457.28/x
  3. Step 3: Cross multiply
    1,478.40x = 2,202.72 × 1,457.28
  4. Step 4: Simplify right side
    1,478.40x = 3,209,979.80
  5. Step 5: Solve for x
    x = 3,209,979.80/1,478.40
  6. Step 6: Final answer
    x = 2,171.25

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