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Finding the Fourth Proportional to 1,612.81, 2,225.58 and 904.75

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Solution

The fourth proportional to 1,612.81, 2,225.58 and 904.75 is: 1,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.81 : 2,225.58 = 904.75 : x
  2. Step 2: Convert to fraction form
    1,612.81/2,225.58 = 904.75/x
  3. Step 3: Cross multiply
    1,612.81x = 2,225.58 × 904.75
  4. Step 4: Simplify right side
    1,612.81x = 2,013,593.51
  5. Step 5: Solve for x
    x = 2,013,593.51/1,612.81
  6. Step 6: Final answer
    x = 1,248.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.