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Finding the Fourth Proportional to 1,704.15, 2,345.09 and 1,508.13

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Solution

The fourth proportional to 1,704.15, 2,345.09 and 1,508.13 is: 2,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.15 : 2,345.09 = 1,508.13 : x
  2. Step 2: Convert to fraction form
    1,704.15/2,345.09 = 1,508.13/x
  3. Step 3: Cross multiply
    1,704.15x = 2,345.09 × 1,508.13
  4. Step 4: Simplify right side
    1,704.15x = 3,536,693.04
  5. Step 5: Solve for x
    x = 3,536,693.04/1,704.15
  6. Step 6: Final answer
    x = 2,075.34

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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.