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Finding the Fourth Proportional to 2,547.18, 3,820.70 and 903.74

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Solution

The fourth proportional to 2,547.18, 3,820.70 and 903.74 is: 1,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.18 : 3,820.70 = 903.74 : x
  2. Step 2: Convert to fraction form
    2,547.18/3,820.70 = 903.74/x
  3. Step 3: Cross multiply
    2,547.18x = 3,820.70 × 903.74
  4. Step 4: Simplify right side
    2,547.18x = 3,452,919.42
  5. Step 5: Solve for x
    x = 3,452,919.42/2,547.18
  6. Step 6: Final answer
    x = 1,355.59

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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.