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Finding the Fourth Proportional to 1,795.75, 2,478.23 and 1,050.14

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Solution

The fourth proportional to 1,795.75, 2,478.23 and 1,050.14 is: 1,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.75 : 2,478.23 = 1,050.14 : x
  2. Step 2: Convert to fraction form
    1,795.75/2,478.23 = 1,050.14/x
  3. Step 3: Cross multiply
    1,795.75x = 2,478.23 × 1,050.14
  4. Step 4: Simplify right side
    1,795.75x = 2,602,483.20
  5. Step 5: Solve for x
    x = 2,602,483.20/1,795.75
  6. Step 6: Final answer
    x = 1,449.25

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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.