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Finding the Fourth Proportional to 1,802.77, 2,488.08 and 1,307.05

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Solution

The fourth proportional to 1,802.77, 2,488.08 and 1,307.05 is: 1,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.77 : 2,488.08 = 1,307.05 : x
  2. Step 2: Convert to fraction form
    1,802.77/2,488.08 = 1,307.05/x
  3. Step 3: Cross multiply
    1,802.77x = 2,488.08 × 1,307.05
  4. Step 4: Simplify right side
    1,802.77x = 3,252,044.96
  5. Step 5: Solve for x
    x = 3,252,044.96/1,802.77
  6. Step 6: Final answer
    x = 1,803.92

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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.