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Finding the Fourth Proportional to 2,356.50, 3,532.06 and 1,122.16

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Solution

The fourth proportional to 2,356.50, 3,532.06 and 1,122.16 is: 1,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.50 : 3,532.06 = 1,122.16 : x
  2. Step 2: Convert to fraction form
    2,356.50/3,532.06 = 1,122.16/x
  3. Step 3: Cross multiply
    2,356.50x = 3,532.06 × 1,122.16
  4. Step 4: Simplify right side
    2,356.50x = 3,963,536.45
  5. Step 5: Solve for x
    x = 3,963,536.45/2,356.50
  6. Step 6: Final answer
    x = 1,681.96

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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.