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Finding the Fourth Proportional to 1,533.91, 2,300.81 and 840.90

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Solution

The fourth proportional to 1,533.91, 2,300.81 and 840.90 is: 1,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.91 : 2,300.81 = 840.90 : x
  2. Step 2: Convert to fraction form
    1,533.91/2,300.81 = 840.90/x
  3. Step 3: Cross multiply
    1,533.91x = 2,300.81 × 840.90
  4. Step 4: Simplify right side
    1,533.91x = 1,934,758.71
  5. Step 5: Solve for x
    x = 1,934,758.71/1,533.91
  6. Step 6: Final answer
    x = 1,261.33

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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.