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Finding the Fourth Proportional to 1,853.61, 2,558.07 and 1,056.78

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Solution

The fourth proportional to 1,853.61, 2,558.07 and 1,056.78 is: 1,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.61 : 2,558.07 = 1,056.78 : x
  2. Step 2: Convert to fraction form
    1,853.61/2,558.07 = 1,056.78/x
  3. Step 3: Cross multiply
    1,853.61x = 2,558.07 × 1,056.78
  4. Step 4: Simplify right side
    1,853.61x = 2,703,317.21
  5. Step 5: Solve for x
    x = 2,703,317.21/1,853.61
  6. Step 6: Final answer
    x = 1,458.41

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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.