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Finding the Fourth Proportional to 1,438.63, 1,985.34 and 1,124.25

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Solution

The fourth proportional to 1,438.63, 1,985.34 and 1,124.25 is: 1,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.63 : 1,985.34 = 1,124.25 : x
  2. Step 2: Convert to fraction form
    1,438.63/1,985.34 = 1,124.25/x
  3. Step 3: Cross multiply
    1,438.63x = 1,985.34 × 1,124.25
  4. Step 4: Simplify right side
    1,438.63x = 2,232,018.50
  5. Step 5: Solve for x
    x = 2,232,018.50/1,438.63
  6. Step 6: Final answer
    x = 1,551.49

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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.