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Finding the Fourth Proportional to 1,461.42, 2,190.90 and 595.14

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Solution

The fourth proportional to 1,461.42, 2,190.90 and 595.14 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.42 : 2,190.90 = 595.14 : x
  2. Step 2: Convert to fraction form
    1,461.42/2,190.90 = 595.14/x
  3. Step 3: Cross multiply
    1,461.42x = 2,190.90 × 595.14
  4. Step 4: Simplify right side
    1,461.42x = 1,303,892.23
  5. Step 5: Solve for x
    x = 1,303,892.23/1,461.42
  6. Step 6: Final answer
    x = 892.21

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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.