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Finding the Fourth Proportional to 2,390.94, 3,585.33 and 929.70

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Solution

The fourth proportional to 2,390.94, 3,585.33 and 929.70 is: 1,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.94 : 3,585.33 = 929.70 : x
  2. Step 2: Convert to fraction form
    2,390.94/3,585.33 = 929.70/x
  3. Step 3: Cross multiply
    2,390.94x = 3,585.33 × 929.70
  4. Step 4: Simplify right side
    2,390.94x = 3,333,281.30
  5. Step 5: Solve for x
    x = 3,333,281.30/2,390.94
  6. Step 6: Final answer
    x = 1,394.13

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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.