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Finding the Fourth Proportional to 1,451.47, 2,173.34 and 990.16

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Solution

The fourth proportional to 1,451.47, 2,173.34 and 990.16 is: 1,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.47 : 2,173.34 = 990.16 : x
  2. Step 2: Convert to fraction form
    1,451.47/2,173.34 = 990.16/x
  3. Step 3: Cross multiply
    1,451.47x = 2,173.34 × 990.16
  4. Step 4: Simplify right side
    1,451.47x = 2,151,938.52
  5. Step 5: Solve for x
    x = 2,151,938.52/1,451.47
  6. Step 6: Final answer
    x = 1,482.60

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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.