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Finding the Fourth Proportional to 1,703.08, 2,542.19 and 1,461.16

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Solution

The fourth proportional to 1,703.08, 2,542.19 and 1,461.16 is: 2,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.08 : 2,542.19 = 1,461.16 : x
  2. Step 2: Convert to fraction form
    1,703.08/2,542.19 = 1,461.16/x
  3. Step 3: Cross multiply
    1,703.08x = 2,542.19 × 1,461.16
  4. Step 4: Simplify right side
    1,703.08x = 3,714,546.34
  5. Step 5: Solve for x
    x = 3,714,546.34/1,703.08
  6. Step 6: Final answer
    x = 2,181.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.