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Finding the Fourth Proportional to 2,526.53, 3,486.53 and 1,407.38

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Solution

The fourth proportional to 2,526.53, 3,486.53 and 1,407.38 is: 1,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.53 : 3,486.53 = 1,407.38 : x
  2. Step 2: Convert to fraction form
    2,526.53/3,486.53 = 1,407.38/x
  3. Step 3: Cross multiply
    2,526.53x = 3,486.53 × 1,407.38
  4. Step 4: Simplify right side
    2,526.53x = 4,906,858.68
  5. Step 5: Solve for x
    x = 4,906,858.68/2,526.53
  6. Step 6: Final answer
    x = 1,942.14

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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.