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Finding the Fourth Proportional to 1,735.48, 2,392.70 and 1,263.45

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Solution

The fourth proportional to 1,735.48, 2,392.70 and 1,263.45 is: 1,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.48 : 2,392.70 = 1,263.45 : x
  2. Step 2: Convert to fraction form
    1,735.48/2,392.70 = 1,263.45/x
  3. Step 3: Cross multiply
    1,735.48x = 2,392.70 × 1,263.45
  4. Step 4: Simplify right side
    1,735.48x = 3,023,056.82
  5. Step 5: Solve for x
    x = 3,023,056.82/1,735.48
  6. Step 6: Final answer
    x = 1,741.91

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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.