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Finding the Fourth Proportional to 1,684.47, 2,326.00 and 1,056.05

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Solution

The fourth proportional to 1,684.47, 2,326.00 and 1,056.05 is: 1,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.47 : 2,326.00 = 1,056.05 : x
  2. Step 2: Convert to fraction form
    1,684.47/2,326.00 = 1,056.05/x
  3. Step 3: Cross multiply
    1,684.47x = 2,326.00 × 1,056.05
  4. Step 4: Simplify right side
    1,684.47x = 2,456,368.73
  5. Step 5: Solve for x
    x = 2,456,368.73/1,684.47
  6. Step 6: Final answer
    x = 1,458.25

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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.