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Finding the Fourth Proportional to 1,526.14, 2,289 and 602.35

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Solution

The fourth proportional to 1,526.14, 2,289 and 602.35 is: 903.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.14 : 2,289 = 602.35 : x
  2. Step 2: Convert to fraction form
    1,526.14/2,289 = 602.35/x
  3. Step 3: Cross multiply
    1,526.14x = 2,289 × 602.35
  4. Step 4: Simplify right side
    1,526.14x = 1,378,779.15
  5. Step 5: Solve for x
    x = 1,378,779.15/1,526.14
  6. Step 6: Final answer
    x = 903.44

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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.