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Finding the Fourth Proportional to 2,557.53, 3,529.16 and 1,438.57

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Solution

The fourth proportional to 2,557.53, 3,529.16 and 1,438.57 is: 1,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.53 : 3,529.16 = 1,438.57 : x
  2. Step 2: Convert to fraction form
    2,557.53/3,529.16 = 1,438.57/x
  3. Step 3: Cross multiply
    2,557.53x = 3,529.16 × 1,438.57
  4. Step 4: Simplify right side
    2,557.53x = 5,076,927.69
  5. Step 5: Solve for x
    x = 5,076,927.69/2,557.53
  6. Step 6: Final answer
    x = 1,985.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.