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Finding the Fourth Proportional to 1,790.16, 2,684.94 and 491.40

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Solution

The fourth proportional to 1,790.16, 2,684.94 and 491.40 is: 737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.16 : 2,684.94 = 491.40 : x
  2. Step 2: Convert to fraction form
    1,790.16/2,684.94 = 491.40/x
  3. Step 3: Cross multiply
    1,790.16x = 2,684.94 × 491.40
  4. Step 4: Simplify right side
    1,790.16x = 1,319,379.52
  5. Step 5: Solve for x
    x = 1,319,379.52/1,790.16
  6. Step 6: Final answer
    x = 737.02

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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.