Home / 1,742.64-2,401.56-1,699.44

Finding the Fourth Proportional to 1,742.64, 2,401.56 and 1,699.44

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Solution

The fourth proportional to 1,742.64, 2,401.56 and 1,699.44 is: 2,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.64 : 2,401.56 = 1,699.44 : x
  2. Step 2: Convert to fraction form
    1,742.64/2,401.56 = 1,699.44/x
  3. Step 3: Cross multiply
    1,742.64x = 2,401.56 × 1,699.44
  4. Step 4: Simplify right side
    1,742.64x = 4,081,307.13
  5. Step 5: Solve for x
    x = 4,081,307.13/1,742.64
  6. Step 6: Final answer
    x = 2,342.03

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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.