Home / 1,524.48-2,283.84-1,464

Finding the Fourth Proportional to 1,524.48, 2,283.84 and 1,464

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Solution

The fourth proportional to 1,524.48, 2,283.84 and 1,464 is: 2,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.48 : 2,283.84 = 1,464 : x
  2. Step 2: Convert to fraction form
    1,524.48/2,283.84 = 1,464/x
  3. Step 3: Cross multiply
    1,524.48x = 2,283.84 × 1,464
  4. Step 4: Simplify right side
    1,524.48x = 3,343,541.76
  5. Step 5: Solve for x
    x = 3,343,541.76/1,524.48
  6. Step 6: Final answer
    x = 2,193.23

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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.