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Finding the Fourth Proportional to 2,897.22, 4,345.80 and 705.95

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Solution

The fourth proportional to 2,897.22, 4,345.80 and 705.95 is: 1,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.22 : 4,345.80 = 705.95 : x
  2. Step 2: Convert to fraction form
    2,897.22/4,345.80 = 705.95/x
  3. Step 3: Cross multiply
    2,897.22x = 4,345.80 × 705.95
  4. Step 4: Simplify right side
    2,897.22x = 3,067,917.51
  5. Step 5: Solve for x
    x = 3,067,917.51/2,897.22
  6. Step 6: Final answer
    x = 1,058.92

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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.