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Finding the Fourth Proportional to 2,897.32, 4,345.92 and 706.06

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Solution

The fourth proportional to 2,897.32, 4,345.92 and 706.06 is: 1,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.32 : 4,345.92 = 706.06 : x
  2. Step 2: Convert to fraction form
    2,897.32/4,345.92 = 706.06/x
  3. Step 3: Cross multiply
    2,897.32x = 4,345.92 × 706.06
  4. Step 4: Simplify right side
    2,897.32x = 3,068,480.28
  5. Step 5: Solve for x
    x = 3,068,480.28/2,897.32
  6. Step 6: Final answer
    x = 1,059.08

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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.