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Finding the Fourth Proportional to 2,323.60, 3,477.30 and 2,129.20

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Solution

The fourth proportional to 2,323.60, 3,477.30 and 2,129.20 is: 3,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.60 : 3,477.30 = 2,129.20 : x
  2. Step 2: Convert to fraction form
    2,323.60/3,477.30 = 2,129.20/x
  3. Step 3: Cross multiply
    2,323.60x = 3,477.30 × 2,129.20
  4. Step 4: Simplify right side
    2,323.60x = 7,403,867.16
  5. Step 5: Solve for x
    x = 7,403,867.16/2,323.60
  6. Step 6: Final answer
    x = 3,186.38

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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.