Home / 1,681.84-2,524.08-1,165.47

Finding the Fourth Proportional to 1,681.84, 2,524.08 and 1,165.47

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Solution

The fourth proportional to 1,681.84, 2,524.08 and 1,165.47 is: 1,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.84 : 2,524.08 = 1,165.47 : x
  2. Step 2: Convert to fraction form
    1,681.84/2,524.08 = 1,165.47/x
  3. Step 3: Cross multiply
    1,681.84x = 2,524.08 × 1,165.47
  4. Step 4: Simplify right side
    1,681.84x = 2,941,727.87
  5. Step 5: Solve for x
    x = 2,941,727.87/1,681.84
  6. Step 6: Final answer
    x = 1,749.11

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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.