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Finding the Fourth Proportional to 1,632.37, 2,448.71 and 536.74

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Solution

The fourth proportional to 1,632.37, 2,448.71 and 536.74 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.37 : 2,448.71 = 536.74 : x
  2. Step 2: Convert to fraction form
    1,632.37/2,448.71 = 536.74/x
  3. Step 3: Cross multiply
    1,632.37x = 2,448.71 × 536.74
  4. Step 4: Simplify right side
    1,632.37x = 1,314,320.61
  5. Step 5: Solve for x
    x = 1,314,320.61/1,632.37
  6. Step 6: Final answer
    x = 805.16

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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.