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Finding the Fourth Proportional to 2,460.17, 3,689.85 and 705.41

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Solution

The fourth proportional to 2,460.17, 3,689.85 and 705.41 is: 1,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.17 : 3,689.85 = 705.41 : x
  2. Step 2: Convert to fraction form
    2,460.17/3,689.85 = 705.41/x
  3. Step 3: Cross multiply
    2,460.17x = 3,689.85 × 705.41
  4. Step 4: Simplify right side
    2,460.17x = 2,602,855.12
  5. Step 5: Solve for x
    x = 2,602,855.12/2,460.17
  6. Step 6: Final answer
    x = 1,058.00

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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.