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Finding the Fourth Proportional to 2,492.82, 3,440.70 and 1,706.58

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Solution

The fourth proportional to 2,492.82, 3,440.70 and 1,706.58 is: 2,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.82 : 3,440.70 = 1,706.58 : x
  2. Step 2: Convert to fraction form
    2,492.82/3,440.70 = 1,706.58/x
  3. Step 3: Cross multiply
    2,492.82x = 3,440.70 × 1,706.58
  4. Step 4: Simplify right side
    2,492.82x = 5,871,829.81
  5. Step 5: Solve for x
    x = 5,871,829.81/2,492.82
  6. Step 6: Final answer
    x = 2,355.50

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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.