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Finding the Fourth Proportional to 1,852.66, 2,557.14 and 1,145.11

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Solution

The fourth proportional to 1,852.66, 2,557.14 and 1,145.11 is: 1,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.66 : 2,557.14 = 1,145.11 : x
  2. Step 2: Convert to fraction form
    1,852.66/2,557.14 = 1,145.11/x
  3. Step 3: Cross multiply
    1,852.66x = 2,557.14 × 1,145.11
  4. Step 4: Simplify right side
    1,852.66x = 2,928,206.59
  5. Step 5: Solve for x
    x = 2,928,206.59/1,852.66
  6. Step 6: Final answer
    x = 1,580.54

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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.