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Finding the Fourth Proportional to 1,573.71, 2,171.82 and 1,041.67

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Solution

The fourth proportional to 1,573.71, 2,171.82 and 1,041.67 is: 1,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.71 : 2,171.82 = 1,041.67 : x
  2. Step 2: Convert to fraction form
    1,573.71/2,171.82 = 1,041.67/x
  3. Step 3: Cross multiply
    1,573.71x = 2,171.82 × 1,041.67
  4. Step 4: Simplify right side
    1,573.71x = 2,262,319.74
  5. Step 5: Solve for x
    x = 2,262,319.74/1,573.71
  6. Step 6: Final answer
    x = 1,437.57

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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.