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Finding the Fourth Proportional to 2,547.94, 3,820.66 and 904.25

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Solution

The fourth proportional to 2,547.94, 3,820.66 and 904.25 is: 1,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.94 : 3,820.66 = 904.25 : x
  2. Step 2: Convert to fraction form
    2,547.94/3,820.66 = 904.25/x
  3. Step 3: Cross multiply
    2,547.94x = 3,820.66 × 904.25
  4. Step 4: Simplify right side
    2,547.94x = 3,454,831.81
  5. Step 5: Solve for x
    x = 3,454,831.81/2,547.94
  6. Step 6: Final answer
    x = 1,355.93

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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.