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Finding the Fourth Proportional to 2,108.04, 3,162.54 and 647.40

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Solution

The fourth proportional to 2,108.04, 3,162.54 and 647.40 is: 971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.04 : 3,162.54 = 647.40 : x
  2. Step 2: Convert to fraction form
    2,108.04/3,162.54 = 647.40/x
  3. Step 3: Cross multiply
    2,108.04x = 3,162.54 × 647.40
  4. Step 4: Simplify right side
    2,108.04x = 2,047,428.40
  5. Step 5: Solve for x
    x = 2,047,428.40/2,108.04
  6. Step 6: Final answer
    x = 971.25

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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.