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Finding the Fourth Proportional to 1,357.02, 1,874.34 and 1,097.01

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Solution

The fourth proportional to 1,357.02, 1,874.34 and 1,097.01 is: 1,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.02 : 1,874.34 = 1,097.01 : x
  2. Step 2: Convert to fraction form
    1,357.02/1,874.34 = 1,097.01/x
  3. Step 3: Cross multiply
    1,357.02x = 1,874.34 × 1,097.01
  4. Step 4: Simplify right side
    1,357.02x = 2,056,169.72
  5. Step 5: Solve for x
    x = 2,056,169.72/1,357.02
  6. Step 6: Final answer
    x = 1,515.21

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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.