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Finding the Fourth Proportional to 1,566.61, 2,349.88 and 908.08

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Solution

The fourth proportional to 1,566.61, 2,349.88 and 908.08 is: 1,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.61 : 2,349.88 = 908.08 : x
  2. Step 2: Convert to fraction form
    1,566.61/2,349.88 = 908.08/x
  3. Step 3: Cross multiply
    1,566.61x = 2,349.88 × 908.08
  4. Step 4: Simplify right side
    1,566.61x = 2,133,870.89
  5. Step 5: Solve for x
    x = 2,133,870.89/1,566.61
  6. Step 6: Final answer
    x = 1,362.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.