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Finding the Fourth Proportional to 1,518.51, 2,095.53 and 846.30

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Solution

The fourth proportional to 1,518.51, 2,095.53 and 846.30 is: 1,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.51 : 2,095.53 = 846.30 : x
  2. Step 2: Convert to fraction form
    1,518.51/2,095.53 = 846.30/x
  3. Step 3: Cross multiply
    1,518.51x = 2,095.53 × 846.30
  4. Step 4: Simplify right side
    1,518.51x = 1,773,447.04
  5. Step 5: Solve for x
    x = 1,773,447.04/1,518.51
  6. Step 6: Final answer
    x = 1,167.89

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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.