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Finding the Fourth Proportional to 1,712.64, 2,364.16 and 1,123.68

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Solution

The fourth proportional to 1,712.64, 2,364.16 and 1,123.68 is: 1,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.64 : 2,364.16 = 1,123.68 : x
  2. Step 2: Convert to fraction form
    1,712.64/2,364.16 = 1,123.68/x
  3. Step 3: Cross multiply
    1,712.64x = 2,364.16 × 1,123.68
  4. Step 4: Simplify right side
    1,712.64x = 2,656,559.31
  5. Step 5: Solve for x
    x = 2,656,559.31/1,712.64
  6. Step 6: Final answer
    x = 1,551.15

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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.