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Finding the Fourth Proportional to 2,097.34, 2,893.05 and 1,508.67

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Solution

The fourth proportional to 2,097.34, 2,893.05 and 1,508.67 is: 2,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.34 : 2,893.05 = 1,508.67 : x
  2. Step 2: Convert to fraction form
    2,097.34/2,893.05 = 1,508.67/x
  3. Step 3: Cross multiply
    2,097.34x = 2,893.05 × 1,508.67
  4. Step 4: Simplify right side
    2,097.34x = 4,364,657.74
  5. Step 5: Solve for x
    x = 4,364,657.74/2,097.34
  6. Step 6: Final answer
    x = 2,081.05

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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.