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Finding the Fourth Proportional to 2,106.04, 3,159.12 and 645.16

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Solution

The fourth proportional to 2,106.04, 3,159.12 and 645.16 is: 967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.04 : 3,159.12 = 645.16 : x
  2. Step 2: Convert to fraction form
    2,106.04/3,159.12 = 645.16/x
  3. Step 3: Cross multiply
    2,106.04x = 3,159.12 × 645.16
  4. Step 4: Simplify right side
    2,106.04x = 2,038,137.86
  5. Step 5: Solve for x
    x = 2,038,137.86/2,106.04
  6. Step 6: Final answer
    x = 967.76

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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.