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Finding the Fourth Proportional to 1,455.71, 2,007.48 and 1,123.40

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Solution

The fourth proportional to 1,455.71, 2,007.48 and 1,123.40 is: 1,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.71 : 2,007.48 = 1,123.40 : x
  2. Step 2: Convert to fraction form
    1,455.71/2,007.48 = 1,123.40/x
  3. Step 3: Cross multiply
    1,455.71x = 2,007.48 × 1,123.40
  4. Step 4: Simplify right side
    1,455.71x = 2,255,212.26
  5. Step 5: Solve for x
    x = 2,255,212.26/1,455.71
  6. Step 6: Final answer
    x = 1,549.22

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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.