Home / 1,693.19-2,336.69-947.16

Finding the Fourth Proportional to 1,693.19, 2,336.69 and 947.16

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Solution

The fourth proportional to 1,693.19, 2,336.69 and 947.16 is: 1,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.19 : 2,336.69 = 947.16 : x
  2. Step 2: Convert to fraction form
    1,693.19/2,336.69 = 947.16/x
  3. Step 3: Cross multiply
    1,693.19x = 2,336.69 × 947.16
  4. Step 4: Simplify right side
    1,693.19x = 2,213,214.56
  5. Step 5: Solve for x
    x = 2,213,214.56/1,693.19
  6. Step 6: Final answer
    x = 1,307.13

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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.