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Finding the Fourth Proportional to 1,503.52, 2,235.56 and 1,445.20

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Solution

The fourth proportional to 1,503.52, 2,235.56 and 1,445.20 is: 2,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.52 : 2,235.56 = 1,445.20 : x
  2. Step 2: Convert to fraction form
    1,503.52/2,235.56 = 1,445.20/x
  3. Step 3: Cross multiply
    1,503.52x = 2,235.56 × 1,445.20
  4. Step 4: Simplify right side
    1,503.52x = 3,230,831.31
  5. Step 5: Solve for x
    x = 3,230,831.31/1,503.52
  6. Step 6: Final answer
    x = 2,148.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.