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Finding the Fourth Proportional to 1,411.99, 2,118.71 and 672.44

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Solution

The fourth proportional to 1,411.99, 2,118.71 and 672.44 is: 1,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.99 : 2,118.71 = 672.44 : x
  2. Step 2: Convert to fraction form
    1,411.99/2,118.71 = 672.44/x
  3. Step 3: Cross multiply
    1,411.99x = 2,118.71 × 672.44
  4. Step 4: Simplify right side
    1,411.99x = 1,424,701.86
  5. Step 5: Solve for x
    x = 1,424,701.86/1,411.99
  6. Step 6: Final answer
    x = 1,009.00

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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.