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Finding the Fourth Proportional to 2,547.68, 3,820.65 and 903.99

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Solution

The fourth proportional to 2,547.68, 3,820.65 and 903.99 is: 1,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.68 : 3,820.65 = 903.99 : x
  2. Step 2: Convert to fraction form
    2,547.68/3,820.65 = 903.99/x
  3. Step 3: Cross multiply
    2,547.68x = 3,820.65 × 903.99
  4. Step 4: Simplify right side
    2,547.68x = 3,453,829.39
  5. Step 5: Solve for x
    x = 3,453,829.39/2,547.68
  6. Step 6: Final answer
    x = 1,355.68

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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.