Home / 1,733.16-2,391.77-947.22

Finding the Fourth Proportional to 1,733.16, 2,391.77 and 947.22

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Solution

The fourth proportional to 1,733.16, 2,391.77 and 947.22 is: 1,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.16 : 2,391.77 = 947.22 : x
  2. Step 2: Convert to fraction form
    1,733.16/2,391.77 = 947.22/x
  3. Step 3: Cross multiply
    1,733.16x = 2,391.77 × 947.22
  4. Step 4: Simplify right side
    1,733.16x = 2,265,534.75
  5. Step 5: Solve for x
    x = 2,265,534.75/1,733.16
  6. Step 6: Final answer
    x = 1,307.17

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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.