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Finding the Fourth Proportional to 1,437.84, 2,158.62 and 976.74

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Solution

The fourth proportional to 1,437.84, 2,158.62 and 976.74 is: 1,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.84 : 2,158.62 = 976.74 : x
  2. Step 2: Convert to fraction form
    1,437.84/2,158.62 = 976.74/x
  3. Step 3: Cross multiply
    1,437.84x = 2,158.62 × 976.74
  4. Step 4: Simplify right side
    1,437.84x = 2,108,410.50
  5. Step 5: Solve for x
    x = 2,108,410.50/1,437.84
  6. Step 6: Final answer
    x = 1,466.37

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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.