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Finding the Fourth Proportional to 2,533.95, 3,497.18 and 1,486

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Solution

The fourth proportional to 2,533.95, 3,497.18 and 1,486 is: 2,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.95 : 3,497.18 = 1,486 : x
  2. Step 2: Convert to fraction form
    2,533.95/3,497.18 = 1,486/x
  3. Step 3: Cross multiply
    2,533.95x = 3,497.18 × 1,486
  4. Step 4: Simplify right side
    2,533.95x = 5,196,809.48
  5. Step 5: Solve for x
    x = 5,196,809.48/2,533.95
  6. Step 6: Final answer
    x = 2,050.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.