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Finding the Fourth Proportional to 3,102.77, 4,653.47 and 910.91

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Solution

The fourth proportional to 3,102.77, 4,653.47 and 910.91 is: 1,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.77 : 4,653.47 = 910.91 : x
  2. Step 2: Convert to fraction form
    3,102.77/4,653.47 = 910.91/x
  3. Step 3: Cross multiply
    3,102.77x = 4,653.47 × 910.91
  4. Step 4: Simplify right side
    3,102.77x = 4,238,887.80
  5. Step 5: Solve for x
    x = 4,238,887.80/3,102.77
  6. Step 6: Final answer
    x = 1,366.16

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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.