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Finding the Fourth Proportional to 1,564.94, 2,159.62 and 975.48

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Solution

The fourth proportional to 1,564.94, 2,159.62 and 975.48 is: 1,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.94 : 2,159.62 = 975.48 : x
  2. Step 2: Convert to fraction form
    1,564.94/2,159.62 = 975.48/x
  3. Step 3: Cross multiply
    1,564.94x = 2,159.62 × 975.48
  4. Step 4: Simplify right side
    1,564.94x = 2,106,661.94
  5. Step 5: Solve for x
    x = 2,106,661.94/1,564.94
  6. Step 6: Final answer
    x = 1,346.16

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Why These Related Problems?

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