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Finding the Fourth Proportional to 2,298.58, 3,445.84 and 837.45

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Solution

The fourth proportional to 2,298.58, 3,445.84 and 837.45 is: 1,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.58 : 3,445.84 = 837.45 : x
  2. Step 2: Convert to fraction form
    2,298.58/3,445.84 = 837.45/x
  3. Step 3: Cross multiply
    2,298.58x = 3,445.84 × 837.45
  4. Step 4: Simplify right side
    2,298.58x = 2,885,718.71
  5. Step 5: Solve for x
    x = 2,885,718.71/2,298.58
  6. Step 6: Final answer
    x = 1,255.44

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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.