Home / 1,531.10-2,297.57-1,164.17

Finding the Fourth Proportional to 1,531.10, 2,297.57 and 1,164.17

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Solution

The fourth proportional to 1,531.10, 2,297.57 and 1,164.17 is: 1,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.10 : 2,297.57 = 1,164.17 : x
  2. Step 2: Convert to fraction form
    1,531.10/2,297.57 = 1,164.17/x
  3. Step 3: Cross multiply
    1,531.10x = 2,297.57 × 1,164.17
  4. Step 4: Simplify right side
    1,531.10x = 2,674,761.99
  5. Step 5: Solve for x
    x = 2,674,761.99/1,531.10
  6. Step 6: Final answer
    x = 1,746.95

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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.