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Finding the Fourth Proportional to 1,430.02, 2,145.17 and 390.03

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Solution

The fourth proportional to 1,430.02, 2,145.17 and 390.03 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.02 : 2,145.17 = 390.03 : x
  2. Step 2: Convert to fraction form
    1,430.02/2,145.17 = 390.03/x
  3. Step 3: Cross multiply
    1,430.02x = 2,145.17 × 390.03
  4. Step 4: Simplify right side
    1,430.02x = 836,680.66
  5. Step 5: Solve for x
    x = 836,680.66/1,430.02
  6. Step 6: Final answer
    x = 585.08

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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.