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Finding the Fourth Proportional to 2,903.72, 4,009.40 and 1,785.16

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Solution

The fourth proportional to 2,903.72, 4,009.40 and 1,785.16 is: 2,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.72 : 4,009.40 = 1,785.16 : x
  2. Step 2: Convert to fraction form
    2,903.72/4,009.40 = 1,785.16/x
  3. Step 3: Cross multiply
    2,903.72x = 4,009.40 × 1,785.16
  4. Step 4: Simplify right side
    2,903.72x = 7,157,420.50
  5. Step 5: Solve for x
    x = 7,157,420.50/2,903.72
  6. Step 6: Final answer
    x = 2,464.91

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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.