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Finding the Fourth Proportional to 2,526.85, 3,486.84 and 1,407.61

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Solution

The fourth proportional to 2,526.85, 3,486.84 and 1,407.61 is: 1,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.85 : 3,486.84 = 1,407.61 : x
  2. Step 2: Convert to fraction form
    2,526.85/3,486.84 = 1,407.61/x
  3. Step 3: Cross multiply
    2,526.85x = 3,486.84 × 1,407.61
  4. Step 4: Simplify right side
    2,526.85x = 4,908,110.85
  5. Step 5: Solve for x
    x = 4,908,110.85/2,526.85
  6. Step 6: Final answer
    x = 1,942.38

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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.