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Finding the Fourth Proportional to 1,410.30, 2,110.05 and 924.30

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Solution

The fourth proportional to 1,410.30, 2,110.05 and 924.30 is: 1,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.30 : 2,110.05 = 924.30 : x
  2. Step 2: Convert to fraction form
    1,410.30/2,110.05 = 924.30/x
  3. Step 3: Cross multiply
    1,410.30x = 2,110.05 × 924.30
  4. Step 4: Simplify right side
    1,410.30x = 1,950,319.22
  5. Step 5: Solve for x
    x = 1,950,319.22/1,410.30
  6. Step 6: Final answer
    x = 1,382.91

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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.