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Finding the Fourth Proportional to 3,032.58, 4,185 and 1,706.16

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Solution

The fourth proportional to 3,032.58, 4,185 and 1,706.16 is: 2,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.58 : 4,185 = 1,706.16 : x
  2. Step 2: Convert to fraction form
    3,032.58/4,185 = 1,706.16/x
  3. Step 3: Cross multiply
    3,032.58x = 4,185 × 1,706.16
  4. Step 4: Simplify right side
    3,032.58x = 7,140,279.60
  5. Step 5: Solve for x
    x = 7,140,279.60/3,032.58
  6. Step 6: Final answer
    x = 2,354.52

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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.