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Finding the Fourth Proportional to 1,580, 2,369.55 and 1,059.68

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Solution

The fourth proportional to 1,580, 2,369.55 and 1,059.68 is: 1,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 2,369.55 = 1,059.68 : x
  2. Step 2: Convert to fraction form
    1,580/2,369.55 = 1,059.68/x
  3. Step 3: Cross multiply
    1,580x = 2,369.55 × 1,059.68
  4. Step 4: Simplify right side
    1,580x = 2,510,964.74
  5. Step 5: Solve for x
    x = 2,510,964.74/1,580
  6. Step 6: Final answer
    x = 1,589.22

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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.