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Finding the Fourth Proportional to 2,460.51, 3,690.75 and 705.54

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Solution

The fourth proportional to 2,460.51, 3,690.75 and 705.54 is: 1,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.51 : 3,690.75 = 705.54 : x
  2. Step 2: Convert to fraction form
    2,460.51/3,690.75 = 705.54/x
  3. Step 3: Cross multiply
    2,460.51x = 3,690.75 × 705.54
  4. Step 4: Simplify right side
    2,460.51x = 2,603,971.76
  5. Step 5: Solve for x
    x = 2,603,971.76/2,460.51
  6. Step 6: Final answer
    x = 1,058.31

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Why These Related Problems?

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