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Finding the Fourth Proportional to 3,116.04, 4,674.53 and 924.51

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Solution

The fourth proportional to 3,116.04, 4,674.53 and 924.51 is: 1,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.04 : 4,674.53 = 924.51 : x
  2. Step 2: Convert to fraction form
    3,116.04/4,674.53 = 924.51/x
  3. Step 3: Cross multiply
    3,116.04x = 4,674.53 × 924.51
  4. Step 4: Simplify right side
    3,116.04x = 4,321,645.11
  5. Step 5: Solve for x
    x = 4,321,645.11/3,116.04
  6. Step 6: Final answer
    x = 1,386.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.