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Finding the Fourth Proportional to 1,526.94, 2,288.34 and 795.02

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Solution

The fourth proportional to 1,526.94, 2,288.34 and 795.02 is: 1,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.94 : 2,288.34 = 795.02 : x
  2. Step 2: Convert to fraction form
    1,526.94/2,288.34 = 795.02/x
  3. Step 3: Cross multiply
    1,526.94x = 2,288.34 × 795.02
  4. Step 4: Simplify right side
    1,526.94x = 1,819,264.63
  5. Step 5: Solve for x
    x = 1,819,264.63/1,526.94
  6. Step 6: Final answer
    x = 1,191.44

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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.