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Finding the Fourth Proportional to 2,337.99, 3,509.26 and 1,719.93

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Solution

The fourth proportional to 2,337.99, 3,509.26 and 1,719.93 is: 2,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.99 : 3,509.26 = 1,719.93 : x
  2. Step 2: Convert to fraction form
    2,337.99/3,509.26 = 1,719.93/x
  3. Step 3: Cross multiply
    2,337.99x = 3,509.26 × 1,719.93
  4. Step 4: Simplify right side
    2,337.99x = 6,035,681.55
  5. Step 5: Solve for x
    x = 6,035,681.55/2,337.99
  6. Step 6: Final answer
    x = 2,581.57

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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.