Home / 1,564.40-2,158.08-975.08

Finding the Fourth Proportional to 1,564.40, 2,158.08 and 975.08

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Solution

The fourth proportional to 1,564.40, 2,158.08 and 975.08 is: 1,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.40 : 2,158.08 = 975.08 : x
  2. Step 2: Convert to fraction form
    1,564.40/2,158.08 = 975.08/x
  3. Step 3: Cross multiply
    1,564.40x = 2,158.08 × 975.08
  4. Step 4: Simplify right side
    1,564.40x = 2,104,300.65
  5. Step 5: Solve for x
    x = 2,104,300.65/1,564.40
  6. Step 6: Final answer
    x = 1,345.12

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1.5x scale

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.