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Finding the Fourth Proportional to 2,230.25, 3,345.23 and 586.89

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Solution

The fourth proportional to 2,230.25, 3,345.23 and 586.89 is: 880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.25 : 3,345.23 = 586.89 : x
  2. Step 2: Convert to fraction form
    2,230.25/3,345.23 = 586.89/x
  3. Step 3: Cross multiply
    2,230.25x = 3,345.23 × 586.89
  4. Step 4: Simplify right side
    2,230.25x = 1,963,283.50
  5. Step 5: Solve for x
    x = 1,963,283.50/2,230.25
  6. Step 6: Final answer
    x = 880.30

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1.5x scale

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.