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Finding the Fourth Proportional to 2,357.66, 3,531.28 and 1,477.29

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Solution

The fourth proportional to 2,357.66, 3,531.28 and 1,477.29 is: 2,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.66 : 3,531.28 = 1,477.29 : x
  2. Step 2: Convert to fraction form
    2,357.66/3,531.28 = 1,477.29/x
  3. Step 3: Cross multiply
    2,357.66x = 3,531.28 × 1,477.29
  4. Step 4: Simplify right side
    2,357.66x = 5,216,724.63
  5. Step 5: Solve for x
    x = 5,216,724.63/2,357.66
  6. Step 6: Final answer
    x = 2,212.67

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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.