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Finding the Fourth Proportional to 2,897.10, 4,345.61 and 705.83

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Solution

The fourth proportional to 2,897.10, 4,345.61 and 705.83 is: 1,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.10 : 4,345.61 = 705.83 : x
  2. Step 2: Convert to fraction form
    2,897.10/4,345.61 = 705.83/x
  3. Step 3: Cross multiply
    2,897.10x = 4,345.61 × 705.83
  4. Step 4: Simplify right side
    2,897.10x = 3,067,261.91
  5. Step 5: Solve for x
    x = 3,067,261.91/2,897.10
  6. Step 6: Final answer
    x = 1,058.74

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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.