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Finding the Fourth Proportional to 3,115.63, 4,673.76 and 924.40

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Solution

The fourth proportional to 3,115.63, 4,673.76 and 924.40 is: 1,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.63 : 4,673.76 = 924.40 : x
  2. Step 2: Convert to fraction form
    3,115.63/4,673.76 = 924.40/x
  3. Step 3: Cross multiply
    3,115.63x = 4,673.76 × 924.40
  4. Step 4: Simplify right side
    3,115.63x = 4,320,423.74
  5. Step 5: Solve for x
    x = 4,320,423.74/3,115.63
  6. Step 6: Final answer
    x = 1,386.69

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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.