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Finding the Fourth Proportional to 2,354.70, 3,526.29 and 1,582.86

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Solution

The fourth proportional to 2,354.70, 3,526.29 and 1,582.86 is: 2,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.70 : 3,526.29 = 1,582.86 : x
  2. Step 2: Convert to fraction form
    2,354.70/3,526.29 = 1,582.86/x
  3. Step 3: Cross multiply
    2,354.70x = 3,526.29 × 1,582.86
  4. Step 4: Simplify right side
    2,354.70x = 5,581,623.39
  5. Step 5: Solve for x
    x = 5,581,623.39/2,354.70
  6. Step 6: Final answer
    x = 2,370.42

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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.