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Finding the Fourth Proportional to 1,397.07, 2,095.69 and 1,006.00

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Solution

The fourth proportional to 1,397.07, 2,095.69 and 1,006.00 is: 1,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.07 : 2,095.69 = 1,006.00 : x
  2. Step 2: Convert to fraction form
    1,397.07/2,095.69 = 1,006.00/x
  3. Step 3: Cross multiply
    1,397.07x = 2,095.69 × 1,006.00
  4. Step 4: Simplify right side
    1,397.07x = 2,108,256.39
  5. Step 5: Solve for x
    x = 2,108,256.39/1,397.07
  6. Step 6: Final answer
    x = 1,509.06

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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.