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Finding the Fourth Proportional to 1,718.02, 2,369.73 and 1,054.42

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Solution

The fourth proportional to 1,718.02, 2,369.73 and 1,054.42 is: 1,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.02 : 2,369.73 = 1,054.42 : x
  2. Step 2: Convert to fraction form
    1,718.02/2,369.73 = 1,054.42/x
  3. Step 3: Cross multiply
    1,718.02x = 2,369.73 × 1,054.42
  4. Step 4: Simplify right side
    1,718.02x = 2,498,690.71
  5. Step 5: Solve for x
    x = 2,498,690.71/1,718.02
  6. Step 6: Final answer
    x = 1,454.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.