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Finding the Fourth Proportional to 1,606.61, 2,410.25 and 619.40

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Solution

The fourth proportional to 1,606.61, 2,410.25 and 619.40 is: 929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.61 : 2,410.25 = 619.40 : x
  2. Step 2: Convert to fraction form
    1,606.61/2,410.25 = 619.40/x
  3. Step 3: Cross multiply
    1,606.61x = 2,410.25 × 619.40
  4. Step 4: Simplify right side
    1,606.61x = 1,492,893.70
  5. Step 5: Solve for x
    x = 1,492,893.70/1,606.61
  6. Step 6: Final answer
    x = 929.22

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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.