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Finding the Fourth Proportional to 2,897.06, 4,345.52 and 705.78

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Solution

The fourth proportional to 2,897.06, 4,345.52 and 705.78 is: 1,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.06 : 4,345.52 = 705.78 : x
  2. Step 2: Convert to fraction form
    2,897.06/4,345.52 = 705.78/x
  3. Step 3: Cross multiply
    2,897.06x = 4,345.52 × 705.78
  4. Step 4: Simplify right side
    2,897.06x = 3,066,977.58
  5. Step 5: Solve for x
    x = 3,066,977.58/2,897.06
  6. Step 6: Final answer
    x = 1,058.65

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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.