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Finding the Fourth Proportional to 1,875.90, 2,813.40 and 1,053.75

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Solution

The fourth proportional to 1,875.90, 2,813.40 and 1,053.75 is: 1,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.90 : 2,813.40 = 1,053.75 : x
  2. Step 2: Convert to fraction form
    1,875.90/2,813.40 = 1,053.75/x
  3. Step 3: Cross multiply
    1,875.90x = 2,813.40 × 1,053.75
  4. Step 4: Simplify right side
    1,875.90x = 2,964,620.25
  5. Step 5: Solve for x
    x = 2,964,620.25/1,875.90
  6. Step 6: Final answer
    x = 1,580.37

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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.