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Finding the Fourth Proportional to 1,461.29, 2,190.05 and 535.74

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Solution

The fourth proportional to 1,461.29, 2,190.05 and 535.74 is: 802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.29 : 2,190.05 = 535.74 : x
  2. Step 2: Convert to fraction form
    1,461.29/2,190.05 = 535.74/x
  3. Step 3: Cross multiply
    1,461.29x = 2,190.05 × 535.74
  4. Step 4: Simplify right side
    1,461.29x = 1,173,294.71
  5. Step 5: Solve for x
    x = 1,173,294.71/1,461.29
  6. Step 6: Final answer
    x = 802.92

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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.