Home / 1,753.74-2,420.64-1,164.06

Finding the Fourth Proportional to 1,753.74, 2,420.64 and 1,164.06

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Solution

The fourth proportional to 1,753.74, 2,420.64 and 1,164.06 is: 1,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.74 : 2,420.64 = 1,164.06 : x
  2. Step 2: Convert to fraction form
    1,753.74/2,420.64 = 1,164.06/x
  3. Step 3: Cross multiply
    1,753.74x = 2,420.64 × 1,164.06
  4. Step 4: Simplify right side
    1,753.74x = 2,817,770.20
  5. Step 5: Solve for x
    x = 2,817,770.20/1,753.74
  6. Step 6: Final answer
    x = 1,606.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.