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Finding the Fourth Proportional to 1,303.20, 1,952.04 and 1,210.26

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Solution

The fourth proportional to 1,303.20, 1,952.04 and 1,210.26 is: 1,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.20 : 1,952.04 = 1,210.26 : x
  2. Step 2: Convert to fraction form
    1,303.20/1,952.04 = 1,210.26/x
  3. Step 3: Cross multiply
    1,303.20x = 1,952.04 × 1,210.26
  4. Step 4: Simplify right side
    1,303.20x = 2,362,475.93
  5. Step 5: Solve for x
    x = 2,362,475.93/1,303.20
  6. Step 6: Final answer
    x = 1,812.83

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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.