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Finding the Fourth Proportional to 2,564.61, 3,539.61 and 1,516.74

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Solution

The fourth proportional to 2,564.61, 3,539.61 and 1,516.74 is: 2,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.61 : 3,539.61 = 1,516.74 : x
  2. Step 2: Convert to fraction form
    2,564.61/3,539.61 = 1,516.74/x
  3. Step 3: Cross multiply
    2,564.61x = 3,539.61 × 1,516.74
  4. Step 4: Simplify right side
    2,564.61x = 5,368,668.07
  5. Step 5: Solve for x
    x = 5,368,668.07/2,564.61
  6. Step 6: Final answer
    x = 2,093.37

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1.5x scale

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.