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Finding the Fourth Proportional to 1,437.66, 2,157.53 and 974.29

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Solution

The fourth proportional to 1,437.66, 2,157.53 and 974.29 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.66 : 2,157.53 = 974.29 : x
  2. Step 2: Convert to fraction form
    1,437.66/2,157.53 = 974.29/x
  3. Step 3: Cross multiply
    1,437.66x = 2,157.53 × 974.29
  4. Step 4: Simplify right side
    1,437.66x = 2,102,055.03
  5. Step 5: Solve for x
    x = 2,102,055.03/1,437.66
  6. Step 6: Final answer
    x = 1,462.14

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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.