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Finding the Fourth Proportional to 1,534.53, 2,290.20 and 1,430.49

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Solution

The fourth proportional to 1,534.53, 2,290.20 and 1,430.49 is: 2,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.53 : 2,290.20 = 1,430.49 : x
  2. Step 2: Convert to fraction form
    1,534.53/2,290.20 = 1,430.49/x
  3. Step 3: Cross multiply
    1,534.53x = 2,290.20 × 1,430.49
  4. Step 4: Simplify right side
    1,534.53x = 3,276,108.20
  5. Step 5: Solve for x
    x = 3,276,108.20/1,534.53
  6. Step 6: Final answer
    x = 2,134.93

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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.