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Finding the Fourth Proportional to 2,497.65, 3,746.48 and 1,401.99

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Solution

The fourth proportional to 2,497.65, 3,746.48 and 1,401.99 is: 2,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.65 : 3,746.48 = 1,401.99 : x
  2. Step 2: Convert to fraction form
    2,497.65/3,746.48 = 1,401.99/x
  3. Step 3: Cross multiply
    2,497.65x = 3,746.48 × 1,401.99
  4. Step 4: Simplify right side
    2,497.65x = 5,252,520.49
  5. Step 5: Solve for x
    x = 5,252,520.49/2,497.65
  6. Step 6: Final answer
    x = 2,102.99

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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.