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Finding the Fourth Proportional to 1,875.75, 2,588.66 and 1,089.80

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Solution

The fourth proportional to 1,875.75, 2,588.66 and 1,089.80 is: 1,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.75 : 2,588.66 = 1,089.80 : x
  2. Step 2: Convert to fraction form
    1,875.75/2,588.66 = 1,089.80/x
  3. Step 3: Cross multiply
    1,875.75x = 2,588.66 × 1,089.80
  4. Step 4: Simplify right side
    1,875.75x = 2,821,121.67
  5. Step 5: Solve for x
    x = 2,821,121.67/1,875.75
  6. Step 6: Final answer
    x = 1,504.00

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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.