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Finding the Fourth Proportional to 1,535.95, 2,302.56 and 561.37

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Solution

The fourth proportional to 1,535.95, 2,302.56 and 561.37 is: 841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.95 : 2,302.56 = 561.37 : x
  2. Step 2: Convert to fraction form
    1,535.95/2,302.56 = 561.37/x
  3. Step 3: Cross multiply
    1,535.95x = 2,302.56 × 561.37
  4. Step 4: Simplify right side
    1,535.95x = 1,292,588.11
  5. Step 5: Solve for x
    x = 1,292,588.11/1,535.95
  6. Step 6: Final answer
    x = 841.56

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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.