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Finding the Fourth Proportional to 2,348.59, 3,523.40 and 705.28

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Solution

The fourth proportional to 2,348.59, 3,523.40 and 705.28 is: 1,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.59 : 3,523.40 = 705.28 : x
  2. Step 2: Convert to fraction form
    2,348.59/3,523.40 = 705.28/x
  3. Step 3: Cross multiply
    2,348.59x = 3,523.40 × 705.28
  4. Step 4: Simplify right side
    2,348.59x = 2,484,983.55
  5. Step 5: Solve for x
    x = 2,484,983.55/2,348.59
  6. Step 6: Final answer
    x = 1,058.07

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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.