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Finding the Fourth Proportional to 2,358.94, 3,254.66 and 1,520.13

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Solution

The fourth proportional to 2,358.94, 3,254.66 and 1,520.13 is: 2,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.94 : 3,254.66 = 1,520.13 : x
  2. Step 2: Convert to fraction form
    2,358.94/3,254.66 = 1,520.13/x
  3. Step 3: Cross multiply
    2,358.94x = 3,254.66 × 1,520.13
  4. Step 4: Simplify right side
    2,358.94x = 4,947,498.71
  5. Step 5: Solve for x
    x = 4,947,498.71/2,358.94
  6. Step 6: Final answer
    x = 2,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.