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Finding the Fourth Proportional to 2,526.72, 3,790.08 and 1,064.88

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Solution

The fourth proportional to 2,526.72, 3,790.08 and 1,064.88 is: 1,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.72 : 3,790.08 = 1,064.88 : x
  2. Step 2: Convert to fraction form
    2,526.72/3,790.08 = 1,064.88/x
  3. Step 3: Cross multiply
    2,526.72x = 3,790.08 × 1,064.88
  4. Step 4: Simplify right side
    2,526.72x = 4,035,980.39
  5. Step 5: Solve for x
    x = 4,035,980.39/2,526.72
  6. Step 6: Final answer
    x = 1,597.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.