Home / 2,102.07-3,153.42-1,006.23

Finding the Fourth Proportional to 2,102.07, 3,153.42 and 1,006.23

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Solution

The fourth proportional to 2,102.07, 3,153.42 and 1,006.23 is: 1,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.07 : 3,153.42 = 1,006.23 : x
  2. Step 2: Convert to fraction form
    2,102.07/3,153.42 = 1,006.23/x
  3. Step 3: Cross multiply
    2,102.07x = 3,153.42 × 1,006.23
  4. Step 4: Simplify right side
    2,102.07x = 3,173,065.81
  5. Step 5: Solve for x
    x = 3,173,065.81/2,102.07
  6. Step 6: Final answer
    x = 1,509.50

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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.