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Finding the Fourth Proportional to 2,347.51, 3,520.99 and 616.27

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Solution

The fourth proportional to 2,347.51, 3,520.99 and 616.27 is: 924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.51 : 3,520.99 = 616.27 : x
  2. Step 2: Convert to fraction form
    2,347.51/3,520.99 = 616.27/x
  3. Step 3: Cross multiply
    2,347.51x = 3,520.99 × 616.27
  4. Step 4: Simplify right side
    2,347.51x = 2,169,880.51
  5. Step 5: Solve for x
    x = 2,169,880.51/2,347.51
  6. Step 6: Final answer
    x = 924.33

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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.