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Finding the Fourth Proportional to 1,700.34, 2,346.49 and 1,110.88

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Solution

The fourth proportional to 1,700.34, 2,346.49 and 1,110.88 is: 1,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.34 : 2,346.49 = 1,110.88 : x
  2. Step 2: Convert to fraction form
    1,700.34/2,346.49 = 1,110.88/x
  3. Step 3: Cross multiply
    1,700.34x = 2,346.49 × 1,110.88
  4. Step 4: Simplify right side
    1,700.34x = 2,606,651.52
  5. Step 5: Solve for x
    x = 2,606,651.52/1,700.34
  6. Step 6: Final answer
    x = 1,533.02

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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.