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Finding the Fourth Proportional to 2,810.07, 3,875.40 and 2,145.69

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Solution

The fourth proportional to 2,810.07, 3,875.40 and 2,145.69 is: 2,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.07 : 3,875.40 = 2,145.69 : x
  2. Step 2: Convert to fraction form
    2,810.07/3,875.40 = 2,145.69/x
  3. Step 3: Cross multiply
    2,810.07x = 3,875.40 × 2,145.69
  4. Step 4: Simplify right side
    2,810.07x = 8,315,407.03
  5. Step 5: Solve for x
    x = 8,315,407.03/2,810.07
  6. Step 6: Final answer
    x = 2,959.15

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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.