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Finding the Fourth Proportional to 1,461.44, 2,193.03 and 583.76

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Solution

The fourth proportional to 1,461.44, 2,193.03 and 583.76 is: 875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.44 : 2,193.03 = 583.76 : x
  2. Step 2: Convert to fraction form
    1,461.44/2,193.03 = 583.76/x
  3. Step 3: Cross multiply
    1,461.44x = 2,193.03 × 583.76
  4. Step 4: Simplify right side
    1,461.44x = 1,280,192.23
  5. Step 5: Solve for x
    x = 1,280,192.23/1,461.44
  6. Step 6: Final answer
    x = 875.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.