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Finding the Fourth Proportional to 1,534.04, 2,296.20 and 1,210.04

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Solution

The fourth proportional to 1,534.04, 2,296.20 and 1,210.04 is: 1,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.04 : 2,296.20 = 1,210.04 : x
  2. Step 2: Convert to fraction form
    1,534.04/2,296.20 = 1,210.04/x
  3. Step 3: Cross multiply
    1,534.04x = 2,296.20 × 1,210.04
  4. Step 4: Simplify right side
    1,534.04x = 2,778,493.85
  5. Step 5: Solve for x
    x = 2,778,493.85/1,534.04
  6. Step 6: Final answer
    x = 1,811.23

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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.