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Finding the Fourth Proportional to 1,973.58, 2,957.55 and 1,449.47

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Solution

The fourth proportional to 1,973.58, 2,957.55 and 1,449.47 is: 2,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.58 : 2,957.55 = 1,449.47 : x
  2. Step 2: Convert to fraction form
    1,973.58/2,957.55 = 1,449.47/x
  3. Step 3: Cross multiply
    1,973.58x = 2,957.55 × 1,449.47
  4. Step 4: Simplify right side
    1,973.58x = 4,286,887.39
  5. Step 5: Solve for x
    x = 4,286,887.39/1,973.58
  6. Step 6: Final answer
    x = 2,172.14

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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.