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Finding the Fourth Proportional to 2,655.54, 3,664.60 and 1,476.58

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Solution

The fourth proportional to 2,655.54, 3,664.60 and 1,476.58 is: 2,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.54 : 3,664.60 = 1,476.58 : x
  2. Step 2: Convert to fraction form
    2,655.54/3,664.60 = 1,476.58/x
  3. Step 3: Cross multiply
    2,655.54x = 3,664.60 × 1,476.58
  4. Step 4: Simplify right side
    2,655.54x = 5,411,075.07
  5. Step 5: Solve for x
    x = 5,411,075.07/2,655.54
  6. Step 6: Final answer
    x = 2,037.66

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Why These Related Problems?

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