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Finding the Fourth Proportional to 2,437.17, 3,656.11 and 705.57

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Solution

The fourth proportional to 2,437.17, 3,656.11 and 705.57 is: 1,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.17 : 3,656.11 = 705.57 : x
  2. Step 2: Convert to fraction form
    2,437.17/3,656.11 = 705.57/x
  3. Step 3: Cross multiply
    2,437.17x = 3,656.11 × 705.57
  4. Step 4: Simplify right side
    2,437.17x = 2,579,627.38
  5. Step 5: Solve for x
    x = 2,579,627.38/2,437.17
  6. Step 6: Final answer
    x = 1,058.45

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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.