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Finding the Fourth Proportional to 2,925.66, 4,384.32 and 1,536.24

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Solution

The fourth proportional to 2,925.66, 4,384.32 and 1,536.24 is: 2,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.66 : 4,384.32 = 1,536.24 : x
  2. Step 2: Convert to fraction form
    2,925.66/4,384.32 = 1,536.24/x
  3. Step 3: Cross multiply
    2,925.66x = 4,384.32 × 1,536.24
  4. Step 4: Simplify right side
    2,925.66x = 6,735,367.76
  5. Step 5: Solve for x
    x = 6,735,367.76/2,925.66
  6. Step 6: Final answer
    x = 2,302.17

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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.