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Finding the Fourth Proportional to 1,653.94, 2,474.07 and 1,358.11

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Solution

The fourth proportional to 1,653.94, 2,474.07 and 1,358.11 is: 2,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.94 : 2,474.07 = 1,358.11 : x
  2. Step 2: Convert to fraction form
    1,653.94/2,474.07 = 1,358.11/x
  3. Step 3: Cross multiply
    1,653.94x = 2,474.07 × 1,358.11
  4. Step 4: Simplify right side
    1,653.94x = 3,360,059.21
  5. Step 5: Solve for x
    x = 3,360,059.21/1,653.94
  6. Step 6: Final answer
    x = 2,031.55

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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.