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Finding the Fourth Proportional to 1,430.55, 2,146.02 and 390.59

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Solution

The fourth proportional to 1,430.55, 2,146.02 and 390.59 is: 585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.55 : 2,146.02 = 390.59 : x
  2. Step 2: Convert to fraction form
    1,430.55/2,146.02 = 390.59/x
  3. Step 3: Cross multiply
    1,430.55x = 2,146.02 × 390.59
  4. Step 4: Simplify right side
    1,430.55x = 838,203.22
  5. Step 5: Solve for x
    x = 838,203.22/1,430.55
  6. Step 6: Final answer
    x = 585.93

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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.