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Finding the Fourth Proportional to 1,931.51, 2,665.50 and 1,146.08

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Solution

The fourth proportional to 1,931.51, 2,665.50 and 1,146.08 is: 1,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.51 : 2,665.50 = 1,146.08 : x
  2. Step 2: Convert to fraction form
    1,931.51/2,665.50 = 1,146.08/x
  3. Step 3: Cross multiply
    1,931.51x = 2,665.50 × 1,146.08
  4. Step 4: Simplify right side
    1,931.51x = 3,054,876.24
  5. Step 5: Solve for x
    x = 3,054,876.24/1,931.51
  6. Step 6: Final answer
    x = 1,581.60

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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.