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Finding the Fourth Proportional to 2,897.24, 4,345.86 and 705.98

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Solution

The fourth proportional to 2,897.24, 4,345.86 and 705.98 is: 1,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.24 : 4,345.86 = 705.98 : x
  2. Step 2: Convert to fraction form
    2,897.24/4,345.86 = 705.98/x
  3. Step 3: Cross multiply
    2,897.24x = 4,345.86 × 705.98
  4. Step 4: Simplify right side
    2,897.24x = 3,068,090.24
  5. Step 5: Solve for x
    x = 3,068,090.24/2,897.24
  6. Step 6: Final answer
    x = 1,058.97

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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.