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Finding the Fourth Proportional to 2,948.07, 4,416.02 and 2,364.06

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Solution

The fourth proportional to 2,948.07, 4,416.02 and 2,364.06 is: 3,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.07 : 4,416.02 = 2,364.06 : x
  2. Step 2: Convert to fraction form
    2,948.07/4,416.02 = 2,364.06/x
  3. Step 3: Cross multiply
    2,948.07x = 4,416.02 × 2,364.06
  4. Step 4: Simplify right side
    2,948.07x = 10,439,736.24
  5. Step 5: Solve for x
    x = 10,439,736.24/2,948.07
  6. Step 6: Final answer
    x = 3,541.21

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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.