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Finding the Fourth Proportional to 2,342.50, 3,510.74 and 954.22

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Solution

The fourth proportional to 2,342.50, 3,510.74 and 954.22 is: 1,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.50 : 3,510.74 = 954.22 : x
  2. Step 2: Convert to fraction form
    2,342.50/3,510.74 = 954.22/x
  3. Step 3: Cross multiply
    2,342.50x = 3,510.74 × 954.22
  4. Step 4: Simplify right side
    2,342.50x = 3,350,018.32
  5. Step 5: Solve for x
    x = 3,350,018.32/2,342.50
  6. Step 6: Final answer
    x = 1,430.10

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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.