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Finding the Fourth Proportional to 1,838.04, 2,539.92 and 1,748.16

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Solution

The fourth proportional to 1,838.04, 2,539.92 and 1,748.16 is: 2,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.04 : 2,539.92 = 1,748.16 : x
  2. Step 2: Convert to fraction form
    1,838.04/2,539.92 = 1,748.16/x
  3. Step 3: Cross multiply
    1,838.04x = 2,539.92 × 1,748.16
  4. Step 4: Simplify right side
    1,838.04x = 4,440,186.55
  5. Step 5: Solve for x
    x = 4,440,186.55/1,838.04
  6. Step 6: Final answer
    x = 2,415.72

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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.