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Finding the Fourth Proportional to 1,412.63, 1,948.23 and 1,117.39

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Solution

The fourth proportional to 1,412.63, 1,948.23 and 1,117.39 is: 1,541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.63 : 1,948.23 = 1,117.39 : x
  2. Step 2: Convert to fraction form
    1,412.63/1,948.23 = 1,117.39/x
  3. Step 3: Cross multiply
    1,412.63x = 1,948.23 × 1,117.39
  4. Step 4: Simplify right side
    1,412.63x = 2,176,932.72
  5. Step 5: Solve for x
    x = 2,176,932.72/1,412.63
  6. Step 6: Final answer
    x = 1,541.05

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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.