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Finding the Fourth Proportional to 1,810.77, 2,498.95 and 1,417.11

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Solution

The fourth proportional to 1,810.77, 2,498.95 and 1,417.11 is: 1,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.77 : 2,498.95 = 1,417.11 : x
  2. Step 2: Convert to fraction form
    1,810.77/2,498.95 = 1,417.11/x
  3. Step 3: Cross multiply
    1,810.77x = 2,498.95 × 1,417.11
  4. Step 4: Simplify right side
    1,810.77x = 3,541,279.95
  5. Step 5: Solve for x
    x = 3,541,279.95/1,810.77
  6. Step 6: Final answer
    x = 1,955.68

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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.