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Finding the Fourth Proportional to 1,612.69, 2,225.40 and 904.39

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Solution

The fourth proportional to 1,612.69, 2,225.40 and 904.39 is: 1,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.69 : 2,225.40 = 904.39 : x
  2. Step 2: Convert to fraction form
    1,612.69/2,225.40 = 904.39/x
  3. Step 3: Cross multiply
    1,612.69x = 2,225.40 × 904.39
  4. Step 4: Simplify right side
    1,612.69x = 2,012,629.51
  5. Step 5: Solve for x
    x = 2,012,629.51/1,612.69
  6. Step 6: Final answer
    x = 1,248.00

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Why These Related Problems?

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