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Finding the Fourth Proportional to 2,184.77, 3,271.80 and 1,145.63

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Solution

The fourth proportional to 2,184.77, 3,271.80 and 1,145.63 is: 1,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.77 : 3,271.80 = 1,145.63 : x
  2. Step 2: Convert to fraction form
    2,184.77/3,271.80 = 1,145.63/x
  3. Step 3: Cross multiply
    2,184.77x = 3,271.80 × 1,145.63
  4. Step 4: Simplify right side
    2,184.77x = 3,748,280.41
  5. Step 5: Solve for x
    x = 3,748,280.41/2,184.77
  6. Step 6: Final answer
    x = 1,715.64

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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.