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Finding the Fourth Proportional to 1,799.34, 2,693.13 and 975.57

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Solution

The fourth proportional to 1,799.34, 2,693.13 and 975.57 is: 1,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.34 : 2,693.13 = 975.57 : x
  2. Step 2: Convert to fraction form
    1,799.34/2,693.13 = 975.57/x
  3. Step 3: Cross multiply
    1,799.34x = 2,693.13 × 975.57
  4. Step 4: Simplify right side
    1,799.34x = 2,627,336.83
  5. Step 5: Solve for x
    x = 2,627,336.83/1,799.34
  6. Step 6: Final answer
    x = 1,460.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.