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Finding the Fourth Proportional to 2,341.10, 3,510.67 and 953.50

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Solution

The fourth proportional to 2,341.10, 3,510.67 and 953.50 is: 1,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.10 : 3,510.67 = 953.50 : x
  2. Step 2: Convert to fraction form
    2,341.10/3,510.67 = 953.50/x
  3. Step 3: Cross multiply
    2,341.10x = 3,510.67 × 953.50
  4. Step 4: Simplify right side
    2,341.10x = 3,347,401.52
  5. Step 5: Solve for x
    x = 3,347,401.52/2,341.10
  6. Step 6: Final answer
    x = 1,429.84

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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.