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Finding the Fourth Proportional to 1,440.03, 1,985.68 and 1,300.11

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Solution

The fourth proportional to 1,440.03, 1,985.68 and 1,300.11 is: 1,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.03 : 1,985.68 = 1,300.11 : x
  2. Step 2: Convert to fraction form
    1,440.03/1,985.68 = 1,300.11/x
  3. Step 3: Cross multiply
    1,440.03x = 1,985.68 × 1,300.11
  4. Step 4: Simplify right side
    1,440.03x = 2,581,602.42
  5. Step 5: Solve for x
    x = 2,581,602.42/1,440.03
  6. Step 6: Final answer
    x = 1,792.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.