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Finding the Fourth Proportional to 2,547.58, 3,820.89 and 904.12

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Solution

The fourth proportional to 2,547.58, 3,820.89 and 904.12 is: 1,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.58 : 3,820.89 = 904.12 : x
  2. Step 2: Convert to fraction form
    2,547.58/3,820.89 = 904.12/x
  3. Step 3: Cross multiply
    2,547.58x = 3,820.89 × 904.12
  4. Step 4: Simplify right side
    2,547.58x = 3,454,543.07
  5. Step 5: Solve for x
    x = 3,454,543.07/2,547.58
  6. Step 6: Final answer
    x = 1,356.01

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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.