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Finding the Fourth Proportional to 2,214.01, 3,052.05 and 1,417.22

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Solution

The fourth proportional to 2,214.01, 3,052.05 and 1,417.22 is: 1,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.01 : 3,052.05 = 1,417.22 : x
  2. Step 2: Convert to fraction form
    2,214.01/3,052.05 = 1,417.22/x
  3. Step 3: Cross multiply
    2,214.01x = 3,052.05 × 1,417.22
  4. Step 4: Simplify right side
    2,214.01x = 4,325,411.04
  5. Step 5: Solve for x
    x = 4,325,411.04/2,214.01
  6. Step 6: Final answer
    x = 1,953.66

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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.