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Finding the Fourth Proportional to 2,113.04, 2,917.01 and 1,406.06

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Solution

The fourth proportional to 2,113.04, 2,917.01 and 1,406.06 is: 1,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.04 : 2,917.01 = 1,406.06 : x
  2. Step 2: Convert to fraction form
    2,113.04/2,917.01 = 1,406.06/x
  3. Step 3: Cross multiply
    2,113.04x = 2,917.01 × 1,406.06
  4. Step 4: Simplify right side
    2,113.04x = 4,101,469.47
  5. Step 5: Solve for x
    x = 4,101,469.47/2,113.04
  6. Step 6: Final answer
    x = 1,941.03

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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.