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Finding the Fourth Proportional to 1,474.02, 2,035.00 and 977.34

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Solution

The fourth proportional to 1,474.02, 2,035.00 and 977.34 is: 1,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.02 : 2,035.00 = 977.34 : x
  2. Step 2: Convert to fraction form
    1,474.02/2,035.00 = 977.34/x
  3. Step 3: Cross multiply
    1,474.02x = 2,035.00 × 977.34
  4. Step 4: Simplify right side
    1,474.02x = 1,988,887.28
  5. Step 5: Solve for x
    x = 1,988,887.28/1,474.02
  6. Step 6: Final answer
    x = 1,349.29

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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.