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Finding the Fourth Proportional to 1,529.75, 2,111.54 and 977.75

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Solution

The fourth proportional to 1,529.75, 2,111.54 and 977.75 is: 1,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.75 : 2,111.54 = 977.75 : x
  2. Step 2: Convert to fraction form
    1,529.75/2,111.54 = 977.75/x
  3. Step 3: Cross multiply
    1,529.75x = 2,111.54 × 977.75
  4. Step 4: Simplify right side
    1,529.75x = 2,064,558.24
  5. Step 5: Solve for x
    x = 2,064,558.24/1,529.75
  6. Step 6: Final answer
    x = 1,349.60

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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.