Home / 1,513.16-2,088.24-923.66

Finding the Fourth Proportional to 1,513.16, 2,088.24 and 923.66

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Solution

The fourth proportional to 1,513.16, 2,088.24 and 923.66 is: 1,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.16 : 2,088.24 = 923.66 : x
  2. Step 2: Convert to fraction form
    1,513.16/2,088.24 = 923.66/x
  3. Step 3: Cross multiply
    1,513.16x = 2,088.24 × 923.66
  4. Step 4: Simplify right side
    1,513.16x = 1,928,823.76
  5. Step 5: Solve for x
    x = 1,928,823.76/1,513.16
  6. Step 6: Final answer
    x = 1,274.70

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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.