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Finding the Fourth Proportional to 1,534.69, 2,300.24 and 877.02

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Solution

The fourth proportional to 1,534.69, 2,300.24 and 877.02 is: 1,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.69 : 2,300.24 = 877.02 : x
  2. Step 2: Convert to fraction form
    1,534.69/2,300.24 = 877.02/x
  3. Step 3: Cross multiply
    1,534.69x = 2,300.24 × 877.02
  4. Step 4: Simplify right side
    1,534.69x = 2,017,365.87
  5. Step 5: Solve for x
    x = 2,017,365.87/1,534.69
  6. Step 6: Final answer
    x = 1,314.51

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