Home / 1,740.14-2,610.46-507.38

Finding the Fourth Proportional to 1,740.14, 2,610.46 and 507.38

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Solution

The fourth proportional to 1,740.14, 2,610.46 and 507.38 is: 761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.14 : 2,610.46 = 507.38 : x
  2. Step 2: Convert to fraction form
    1,740.14/2,610.46 = 507.38/x
  3. Step 3: Cross multiply
    1,740.14x = 2,610.46 × 507.38
  4. Step 4: Simplify right side
    1,740.14x = 1,324,495.19
  5. Step 5: Solve for x
    x = 1,324,495.19/1,740.14
  6. Step 6: Final answer
    x = 761.14

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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.