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Finding the Fourth Proportional to 2,322.07, 3,483.06 and 590.70

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Solution

The fourth proportional to 2,322.07, 3,483.06 and 590.70 is: 886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.07 : 3,483.06 = 590.70 : x
  2. Step 2: Convert to fraction form
    2,322.07/3,483.06 = 590.70/x
  3. Step 3: Cross multiply
    2,322.07x = 3,483.06 × 590.70
  4. Step 4: Simplify right side
    2,322.07x = 2,057,443.54
  5. Step 5: Solve for x
    x = 2,057,443.54/2,322.07
  6. Step 6: Final answer
    x = 886.04

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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.