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Finding the Fourth Proportional to 1,909.95, 2,864.55 and 593.46

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Solution

The fourth proportional to 1,909.95, 2,864.55 and 593.46 is: 890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.95 : 2,864.55 = 593.46 : x
  2. Step 2: Convert to fraction form
    1,909.95/2,864.55 = 593.46/x
  3. Step 3: Cross multiply
    1,909.95x = 2,864.55 × 593.46
  4. Step 4: Simplify right side
    1,909.95x = 1,699,995.84
  5. Step 5: Solve for x
    x = 1,699,995.84/1,909.95
  6. Step 6: Final answer
    x = 890.07

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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.