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Finding the Fourth Proportional to 1,700.11, 2,347.54 and 1,385.42

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Solution

The fourth proportional to 1,700.11, 2,347.54 and 1,385.42 is: 1,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.11 : 2,347.54 = 1,385.42 : x
  2. Step 2: Convert to fraction form
    1,700.11/2,347.54 = 1,385.42/x
  3. Step 3: Cross multiply
    1,700.11x = 2,347.54 × 1,385.42
  4. Step 4: Simplify right side
    1,700.11x = 3,252,321.94
  5. Step 5: Solve for x
    x = 3,252,321.94/1,700.11
  6. Step 6: Final answer
    x = 1,913.01

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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.