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Finding the Fourth Proportional to 2,931.68, 4,045.81 and 1,605.51

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Solution

The fourth proportional to 2,931.68, 4,045.81 and 1,605.51 is: 2,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.68 : 4,045.81 = 1,605.51 : x
  2. Step 2: Convert to fraction form
    2,931.68/4,045.81 = 1,605.51/x
  3. Step 3: Cross multiply
    2,931.68x = 4,045.81 × 1,605.51
  4. Step 4: Simplify right side
    2,931.68x = 6,495,588.41
  5. Step 5: Solve for x
    x = 6,495,588.41/2,931.68
  6. Step 6: Final answer
    x = 2,215.65

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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.