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Finding the Fourth Proportional to 2,329.64, 3,492.30 and 1,030.40

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Solution

The fourth proportional to 2,329.64, 3,492.30 and 1,030.40 is: 1,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.64 : 3,492.30 = 1,030.40 : x
  2. Step 2: Convert to fraction form
    2,329.64/3,492.30 = 1,030.40/x
  3. Step 3: Cross multiply
    2,329.64x = 3,492.30 × 1,030.40
  4. Step 4: Simplify right side
    2,329.64x = 3,598,465.92
  5. Step 5: Solve for x
    x = 3,598,465.92/2,329.64
  6. Step 6: Final answer
    x = 1,544.64

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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.