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Finding the Fourth Proportional to 2,106.46, 2,907.16 and 1,210.52

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Solution

The fourth proportional to 2,106.46, 2,907.16 and 1,210.52 is: 1,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.46 : 2,907.16 = 1,210.52 : x
  2. Step 2: Convert to fraction form
    2,106.46/2,907.16 = 1,210.52/x
  3. Step 3: Cross multiply
    2,106.46x = 2,907.16 × 1,210.52
  4. Step 4: Simplify right side
    2,106.46x = 3,519,175.32
  5. Step 5: Solve for x
    x = 3,519,175.32/2,106.46
  6. Step 6: Final answer
    x = 1,670.66

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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.