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Finding the Fourth Proportional to 1,699.51, 2,345.46 and 981.91

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Solution

The fourth proportional to 1,699.51, 2,345.46 and 981.91 is: 1,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.51 : 2,345.46 = 981.91 : x
  2. Step 2: Convert to fraction form
    1,699.51/2,345.46 = 981.91/x
  3. Step 3: Cross multiply
    1,699.51x = 2,345.46 × 981.91
  4. Step 4: Simplify right side
    1,699.51x = 2,303,030.63
  5. Step 5: Solve for x
    x = 2,303,030.63/1,699.51
  6. Step 6: Final answer
    x = 1,355.11

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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.