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Finding the Fourth Proportional to 1,700.67, 2,341.52 and 1,405.47

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Solution

The fourth proportional to 1,700.67, 2,341.52 and 1,405.47 is: 1,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.67 : 2,341.52 = 1,405.47 : x
  2. Step 2: Convert to fraction form
    1,700.67/2,341.52 = 1,405.47/x
  3. Step 3: Cross multiply
    1,700.67x = 2,341.52 × 1,405.47
  4. Step 4: Simplify right side
    1,700.67x = 3,290,929.09
  5. Step 5: Solve for x
    x = 3,290,929.09/1,700.67
  6. Step 6: Final answer
    x = 1,935.08

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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.