Home / 1,416.07-2,124.31-723.18

Finding the Fourth Proportional to 1,416.07, 2,124.31 and 723.18

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Solution

The fourth proportional to 1,416.07, 2,124.31 and 723.18 is: 1,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.07 : 2,124.31 = 723.18 : x
  2. Step 2: Convert to fraction form
    1,416.07/2,124.31 = 723.18/x
  3. Step 3: Cross multiply
    1,416.07x = 2,124.31 × 723.18
  4. Step 4: Simplify right side
    1,416.07x = 1,536,258.51
  5. Step 5: Solve for x
    x = 1,536,258.51/1,416.07
  6. Step 6: Final answer
    x = 1,084.87

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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.