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Finding the Fourth Proportional to 2,341, 3,509.88 and 1,416.79

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Solution

The fourth proportional to 2,341, 3,509.88 and 1,416.79 is: 2,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341 : 3,509.88 = 1,416.79 : x
  2. Step 2: Convert to fraction form
    2,341/3,509.88 = 1,416.79/x
  3. Step 3: Cross multiply
    2,341x = 3,509.88 × 1,416.79
  4. Step 4: Simplify right side
    2,341x = 4,972,762.89
  5. Step 5: Solve for x
    x = 4,972,762.89/2,341
  6. Step 6: Final answer
    x = 2,124.20

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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.