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Finding the Fourth Proportional to 2,095.62, 2,890 and 1,565.80

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Solution

The fourth proportional to 2,095.62, 2,890 and 1,565.80 is: 2,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.62 : 2,890 = 1,565.80 : x
  2. Step 2: Convert to fraction form
    2,095.62/2,890 = 1,565.80/x
  3. Step 3: Cross multiply
    2,095.62x = 2,890 × 1,565.80
  4. Step 4: Simplify right side
    2,095.62x = 4,525,162
  5. Step 5: Solve for x
    x = 4,525,162/2,095.62
  6. Step 6: Final answer
    x = 2,159.34

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1.5x scale

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.