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Finding the Fourth Proportional to 1,875.37, 2,813.01 and 1,042.93

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Solution

The fourth proportional to 1,875.37, 2,813.01 and 1,042.93 is: 1,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.37 : 2,813.01 = 1,042.93 : x
  2. Step 2: Convert to fraction form
    1,875.37/2,813.01 = 1,042.93/x
  3. Step 3: Cross multiply
    1,875.37x = 2,813.01 × 1,042.93
  4. Step 4: Simplify right side
    1,875.37x = 2,933,772.52
  5. Step 5: Solve for x
    x = 2,933,772.52/1,875.37
  6. Step 6: Final answer
    x = 1,564.37

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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.