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Finding the Fourth Proportional to 2,384.64, 3,569.28 and 1,610.88

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Solution

The fourth proportional to 2,384.64, 3,569.28 and 1,610.88 is: 2,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.64 : 3,569.28 = 1,610.88 : x
  2. Step 2: Convert to fraction form
    2,384.64/3,569.28 = 1,610.88/x
  3. Step 3: Cross multiply
    2,384.64x = 3,569.28 × 1,610.88
  4. Step 4: Simplify right side
    2,384.64x = 5,749,681.77
  5. Step 5: Solve for x
    x = 5,749,681.77/2,384.64
  6. Step 6: Final answer
    x = 2,411.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.