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Finding the Fourth Proportional to 2,329.94, 3,492.48 and 1,030.70

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Solution

The fourth proportional to 2,329.94, 3,492.48 and 1,030.70 is: 1,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.94 : 3,492.48 = 1,030.70 : x
  2. Step 2: Convert to fraction form
    2,329.94/3,492.48 = 1,030.70/x
  3. Step 3: Cross multiply
    2,329.94x = 3,492.48 × 1,030.70
  4. Step 4: Simplify right side
    2,329.94x = 3,599,699.14
  5. Step 5: Solve for x
    x = 3,599,699.14/2,329.94
  6. Step 6: Final answer
    x = 1,544.98

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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.