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Finding the Fourth Proportional to 2,907.04, 4,011.76 and 1,648.07

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Solution

The fourth proportional to 2,907.04, 4,011.76 and 1,648.07 is: 2,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.04 : 4,011.76 = 1,648.07 : x
  2. Step 2: Convert to fraction form
    2,907.04/4,011.76 = 1,648.07/x
  3. Step 3: Cross multiply
    2,907.04x = 4,011.76 × 1,648.07
  4. Step 4: Simplify right side
    2,907.04x = 6,611,642.43
  5. Step 5: Solve for x
    x = 6,611,642.43/2,907.04
  6. Step 6: Final answer
    x = 2,274.35

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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.