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Finding the Fourth Proportional to 1,353.90, 2,030.88 and 380

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Solution

The fourth proportional to 1,353.90, 2,030.88 and 380 is: 570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.90 : 2,030.88 = 380 : x
  2. Step 2: Convert to fraction form
    1,353.90/2,030.88 = 380/x
  3. Step 3: Cross multiply
    1,353.90x = 2,030.88 × 380
  4. Step 4: Simplify right side
    1,353.90x = 771,734.40
  5. Step 5: Solve for x
    x = 771,734.40/1,353.90
  6. Step 6: Final answer
    x = 570.01

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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.