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Finding the Fourth Proportional to 1,733.64, 2,591.08 and 1,595.24

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Solution

The fourth proportional to 1,733.64, 2,591.08 and 1,595.24 is: 2,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.64 : 2,591.08 = 1,595.24 : x
  2. Step 2: Convert to fraction form
    1,733.64/2,591.08 = 1,595.24/x
  3. Step 3: Cross multiply
    1,733.64x = 2,591.08 × 1,595.24
  4. Step 4: Simplify right side
    1,733.64x = 4,133,394.46
  5. Step 5: Solve for x
    x = 4,133,394.46/1,733.64
  6. Step 6: Final answer
    x = 2,384.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.