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Finding the Fourth Proportional to 1,473.59, 2,206.74 and 924.11

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Solution

The fourth proportional to 1,473.59, 2,206.74 and 924.11 is: 1,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.59 : 2,206.74 = 924.11 : x
  2. Step 2: Convert to fraction form
    1,473.59/2,206.74 = 924.11/x
  3. Step 3: Cross multiply
    1,473.59x = 2,206.74 × 924.11
  4. Step 4: Simplify right side
    1,473.59x = 2,039,271.21
  5. Step 5: Solve for x
    x = 2,039,271.21/1,473.59
  6. Step 6: Final answer
    x = 1,383.88

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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.