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Finding the Fourth Proportional to 4,283.61, 6,420.54 and 1,970.25

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Solution

The fourth proportional to 4,283.61, 6,420.54 and 1,970.25 is: 2,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.61 : 6,420.54 = 1,970.25 : x
  2. Step 2: Convert to fraction form
    4,283.61/6,420.54 = 1,970.25/x
  3. Step 3: Cross multiply
    4,283.61x = 6,420.54 × 1,970.25
  4. Step 4: Simplify right side
    4,283.61x = 12,650,068.94
  5. Step 5: Solve for x
    x = 12,650,068.94/4,283.61
  6. Step 6: Final answer
    x = 2,953.13

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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.