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Finding the Fourth Proportional to 2,533.96, 3,497.76 and 1,486

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Solution

The fourth proportional to 2,533.96, 3,497.76 and 1,486 is: 2,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.96 : 3,497.76 = 1,486 : x
  2. Step 2: Convert to fraction form
    2,533.96/3,497.76 = 1,486/x
  3. Step 3: Cross multiply
    2,533.96x = 3,497.76 × 1,486
  4. Step 4: Simplify right side
    2,533.96x = 5,197,671.36
  5. Step 5: Solve for x
    x = 5,197,671.36/2,533.96
  6. Step 6: Final answer
    x = 2,051.20

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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.