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Finding the Fourth Proportional to 1,557.05, 2,148.74 and 858.43

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Solution

The fourth proportional to 1,557.05, 2,148.74 and 858.43 is: 1,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.05 : 2,148.74 = 858.43 : x
  2. Step 2: Convert to fraction form
    1,557.05/2,148.74 = 858.43/x
  3. Step 3: Cross multiply
    1,557.05x = 2,148.74 × 858.43
  4. Step 4: Simplify right side
    1,557.05x = 1,844,539.65
  5. Step 5: Solve for x
    x = 1,844,539.65/1,557.05
  6. Step 6: Final answer
    x = 1,184.64

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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.