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Finding the Fourth Proportional to 2,875.40, 4,305.80 and 1,575.36

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Solution

The fourth proportional to 2,875.40, 4,305.80 and 1,575.36 is: 2,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.40 : 4,305.80 = 1,575.36 : x
  2. Step 2: Convert to fraction form
    2,875.40/4,305.80 = 1,575.36/x
  3. Step 3: Cross multiply
    2,875.40x = 4,305.80 × 1,575.36
  4. Step 4: Simplify right side
    2,875.40x = 6,783,185.09
  5. Step 5: Solve for x
    x = 6,783,185.09/2,875.40
  6. Step 6: Final answer
    x = 2,359.04

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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.