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Finding the Fourth Proportional to 1,700.37, 2,347.89 and 1,385.67

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Solution

The fourth proportional to 1,700.37, 2,347.89 and 1,385.67 is: 1,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.37 : 2,347.89 = 1,385.67 : x
  2. Step 2: Convert to fraction form
    1,700.37/2,347.89 = 1,385.67/x
  3. Step 3: Cross multiply
    1,700.37x = 2,347.89 × 1,385.67
  4. Step 4: Simplify right side
    1,700.37x = 3,253,400.74
  5. Step 5: Solve for x
    x = 3,253,400.74/1,700.37
  6. Step 6: Final answer
    x = 1,913.35

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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.