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Finding the Fourth Proportional to 1,733.40, 2,402.10 and 1,700.64

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Solution

The fourth proportional to 1,733.40, 2,402.10 and 1,700.64 is: 2,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.40 : 2,402.10 = 1,700.64 : x
  2. Step 2: Convert to fraction form
    1,733.40/2,402.10 = 1,700.64/x
  3. Step 3: Cross multiply
    1,733.40x = 2,402.10 × 1,700.64
  4. Step 4: Simplify right side
    1,733.40x = 4,085,107.34
  5. Step 5: Solve for x
    x = 4,085,107.34/1,733.40
  6. Step 6: Final answer
    x = 2,356.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.