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Finding the Fourth Proportional to 1,523.34, 2,088.56 and 1,504.64

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Solution

The fourth proportional to 1,523.34, 2,088.56 and 1,504.64 is: 2,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.34 : 2,088.56 = 1,504.64 : x
  2. Step 2: Convert to fraction form
    1,523.34/2,088.56 = 1,504.64/x
  3. Step 3: Cross multiply
    1,523.34x = 2,088.56 × 1,504.64
  4. Step 4: Simplify right side
    1,523.34x = 3,142,539.90
  5. Step 5: Solve for x
    x = 3,142,539.90/1,523.34
  6. Step 6: Final answer
    x = 2,062.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.