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Finding the Fourth Proportional to 2,417.22, 3,646.53 and 2,343.51

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Solution

The fourth proportional to 2,417.22, 3,646.53 and 2,343.51 is: 3,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.22 : 3,646.53 = 2,343.51 : x
  2. Step 2: Convert to fraction form
    2,417.22/3,646.53 = 2,343.51/x
  3. Step 3: Cross multiply
    2,417.22x = 3,646.53 × 2,343.51
  4. Step 4: Simplify right side
    2,417.22x = 8,545,679.52
  5. Step 5: Solve for x
    x = 8,545,679.52/2,417.22
  6. Step 6: Final answer
    x = 3,535.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.