Home / 1,592.02-2,384.65-1,282.20

Finding the Fourth Proportional to 1,592.02, 2,384.65 and 1,282.20

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Solution

The fourth proportional to 1,592.02, 2,384.65 and 1,282.20 is: 1,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.02 : 2,384.65 = 1,282.20 : x
  2. Step 2: Convert to fraction form
    1,592.02/2,384.65 = 1,282.20/x
  3. Step 3: Cross multiply
    1,592.02x = 2,384.65 × 1,282.20
  4. Step 4: Simplify right side
    1,592.02x = 3,057,598.23
  5. Step 5: Solve for x
    x = 3,057,598.23/1,592.02
  6. Step 6: Final answer
    x = 1,920.58

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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.