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Finding the Fourth Proportional to 2,547.12, 3,820.13 and 903.72

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Solution

The fourth proportional to 2,547.12, 3,820.13 and 903.72 is: 1,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.12 : 3,820.13 = 903.72 : x
  2. Step 2: Convert to fraction form
    2,547.12/3,820.13 = 903.72/x
  3. Step 3: Cross multiply
    2,547.12x = 3,820.13 × 903.72
  4. Step 4: Simplify right side
    2,547.12x = 3,452,327.88
  5. Step 5: Solve for x
    x = 3,452,327.88/2,547.12
  6. Step 6: Final answer
    x = 1,355.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.