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Finding the Fourth Proportional to 2,346.12, 3,518.14 and 702.35

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Solution

The fourth proportional to 2,346.12, 3,518.14 and 702.35 is: 1,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.12 : 3,518.14 = 702.35 : x
  2. Step 2: Convert to fraction form
    2,346.12/3,518.14 = 702.35/x
  3. Step 3: Cross multiply
    2,346.12x = 3,518.14 × 702.35
  4. Step 4: Simplify right side
    2,346.12x = 2,470,965.63
  5. Step 5: Solve for x
    x = 2,470,965.63/2,346.12
  6. Step 6: Final answer
    x = 1,053.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.