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Finding the Fourth Proportional to 1,878.51, 2,592.63 and 1,122.37

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Solution

The fourth proportional to 1,878.51, 2,592.63 and 1,122.37 is: 1,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.51 : 2,592.63 = 1,122.37 : x
  2. Step 2: Convert to fraction form
    1,878.51/2,592.63 = 1,122.37/x
  3. Step 3: Cross multiply
    1,878.51x = 2,592.63 × 1,122.37
  4. Step 4: Simplify right side
    1,878.51x = 2,909,890.13
  5. Step 5: Solve for x
    x = 2,909,890.13/1,878.51
  6. Step 6: Final answer
    x = 1,549.04

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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.