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Finding the Fourth Proportional to 2,184.32, 3,014.80 and 1,300.64

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Solution

The fourth proportional to 2,184.32, 3,014.80 and 1,300.64 is: 1,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.32 : 3,014.80 = 1,300.64 : x
  2. Step 2: Convert to fraction form
    2,184.32/3,014.80 = 1,300.64/x
  3. Step 3: Cross multiply
    2,184.32x = 3,014.80 × 1,300.64
  4. Step 4: Simplify right side
    2,184.32x = 3,921,169.47
  5. Step 5: Solve for x
    x = 3,921,169.47/2,184.32
  6. Step 6: Final answer
    x = 1,795.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.