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Finding the Fourth Proportional to 2,356.14, 3,533.84 and 1,315.50

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Solution

The fourth proportional to 2,356.14, 3,533.84 and 1,315.50 is: 1,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.14 : 3,533.84 = 1,315.50 : x
  2. Step 2: Convert to fraction form
    2,356.14/3,533.84 = 1,315.50/x
  3. Step 3: Cross multiply
    2,356.14x = 3,533.84 × 1,315.50
  4. Step 4: Simplify right side
    2,356.14x = 4,648,766.52
  5. Step 5: Solve for x
    x = 4,648,766.52/2,356.14
  6. Step 6: Final answer
    x = 1,973.04

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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.