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Finding the Fourth Proportional to 1,415.76, 1,950.32 and 1,153.32

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Solution

The fourth proportional to 1,415.76, 1,950.32 and 1,153.32 is: 1,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.76 : 1,950.32 = 1,153.32 : x
  2. Step 2: Convert to fraction form
    1,415.76/1,950.32 = 1,153.32/x
  3. Step 3: Cross multiply
    1,415.76x = 1,950.32 × 1,153.32
  4. Step 4: Simplify right side
    1,415.76x = 2,249,337.30
  5. Step 5: Solve for x
    x = 2,249,337.30/1,415.76
  6. Step 6: Final answer
    x = 1,588.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.