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Finding the Fourth Proportional to 2,400.93, 3,596.00 and 1,785.69

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Solution

The fourth proportional to 2,400.93, 3,596.00 and 1,785.69 is: 2,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.93 : 3,596.00 = 1,785.69 : x
  2. Step 2: Convert to fraction form
    2,400.93/3,596.00 = 1,785.69/x
  3. Step 3: Cross multiply
    2,400.93x = 3,596.00 × 1,785.69
  4. Step 4: Simplify right side
    2,400.93x = 6,421,332.31
  5. Step 5: Solve for x
    x = 6,421,332.31/2,400.93
  6. Step 6: Final answer
    x = 2,674.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.