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Finding the Fourth Proportional to 1,873.63, 2,585.52 and 1,210.85

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Solution

The fourth proportional to 1,873.63, 2,585.52 and 1,210.85 is: 1,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.63 : 2,585.52 = 1,210.85 : x
  2. Step 2: Convert to fraction form
    1,873.63/2,585.52 = 1,210.85/x
  3. Step 3: Cross multiply
    1,873.63x = 2,585.52 × 1,210.85
  4. Step 4: Simplify right side
    1,873.63x = 3,130,673.66
  5. Step 5: Solve for x
    x = 3,130,673.66/1,873.63
  6. Step 6: Final answer
    x = 1,670.91

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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.