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Finding the Fourth Proportional to 1,632.84, 2,448.74 and 536.95

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Solution

The fourth proportional to 1,632.84, 2,448.74 and 536.95 is: 805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.84 : 2,448.74 = 536.95 : x
  2. Step 2: Convert to fraction form
    1,632.84/2,448.74 = 536.95/x
  3. Step 3: Cross multiply
    1,632.84x = 2,448.74 × 536.95
  4. Step 4: Simplify right side
    1,632.84x = 1,314,848.26
  5. Step 5: Solve for x
    x = 1,314,848.26/1,632.84
  6. Step 6: Final answer
    x = 805.25

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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.