Home / 1,476.02-2,214.02-380.40

Finding the Fourth Proportional to 1,476.02, 2,214.02 and 380.40

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Solution

The fourth proportional to 1,476.02, 2,214.02 and 380.40 is: 570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.02 : 2,214.02 = 380.40 : x
  2. Step 2: Convert to fraction form
    1,476.02/2,214.02 = 380.40/x
  3. Step 3: Cross multiply
    1,476.02x = 2,214.02 × 380.40
  4. Step 4: Simplify right side
    1,476.02x = 842,213.21
  5. Step 5: Solve for x
    x = 842,213.21/1,476.02
  6. Step 6: Final answer
    x = 570.60

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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.