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Finding the Fourth Proportional to 1,438.48, 1,985.34 and 1,128.52

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Solution

The fourth proportional to 1,438.48, 1,985.34 and 1,128.52 is: 1,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.48 : 1,985.34 = 1,128.52 : x
  2. Step 2: Convert to fraction form
    1,438.48/1,985.34 = 1,128.52/x
  3. Step 3: Cross multiply
    1,438.48x = 1,985.34 × 1,128.52
  4. Step 4: Simplify right side
    1,438.48x = 2,240,495.90
  5. Step 5: Solve for x
    x = 2,240,495.90/1,438.48
  6. Step 6: Final answer
    x = 1,557.54

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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.