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Finding the Fourth Proportional to 1,615.14, 2,228.31 and 1,458

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Solution

The fourth proportional to 1,615.14, 2,228.31 and 1,458 is: 2,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.14 : 2,228.31 = 1,458 : x
  2. Step 2: Convert to fraction form
    1,615.14/2,228.31 = 1,458/x
  3. Step 3: Cross multiply
    1,615.14x = 2,228.31 × 1,458
  4. Step 4: Simplify right side
    1,615.14x = 3,248,875.98
  5. Step 5: Solve for x
    x = 3,248,875.98/1,615.14
  6. Step 6: Final answer
    x = 2,011.51

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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.