Home / 1,534.32-2,302.56-1,188.45

Finding the Fourth Proportional to 1,534.32, 2,302.56 and 1,188.45

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Solution

The fourth proportional to 1,534.32, 2,302.56 and 1,188.45 is: 1,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.32 : 2,302.56 = 1,188.45 : x
  2. Step 2: Convert to fraction form
    1,534.32/2,302.56 = 1,188.45/x
  3. Step 3: Cross multiply
    1,534.32x = 2,302.56 × 1,188.45
  4. Step 4: Simplify right side
    1,534.32x = 2,736,477.43
  5. Step 5: Solve for x
    x = 2,736,477.43/1,534.32
  6. Step 6: Final answer
    x = 1,783.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.