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Finding the Fourth Proportional to 2,526.78, 3,486.78 and 1,464.57

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Solution

The fourth proportional to 2,526.78, 3,486.78 and 1,464.57 is: 2,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.78 : 3,486.78 = 1,464.57 : x
  2. Step 2: Convert to fraction form
    2,526.78/3,486.78 = 1,464.57/x
  3. Step 3: Cross multiply
    2,526.78x = 3,486.78 × 1,464.57
  4. Step 4: Simplify right side
    2,526.78x = 5,106,633.38
  5. Step 5: Solve for x
    x = 5,106,633.38/2,526.78
  6. Step 6: Final answer
    x = 2,021.00

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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.